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ગણિત ધોરણ 9 દ્વિતીય સત્ર

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કિંમત શોધો : (લોગટેબલનો ઉપયોગ કરીને)
open parentheses bold 0 bold. bold 3215 close parentheses bold space bold cross times bold space bold 7 bold. bold 92 bold space bold cross times bold space bold 87 bold. bold 69


ધારો કે, bold x bold space bold equals bold space open parentheses bold 0 bold. bold 3215 close parentheses bold space bold cross times bold space bold 7 bold. bold 92 bold space bold cross times bold space bold 87 bold. bold 69

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               bold equals bold space bold 1 with bold bar on top bold. bold 5072 bold space bold plus bold space bold 0 bold. bold 8987 bold space bold plus bold space bold 1 bold. bold 9429

bold equals bold space open parentheses bold 1 with bold bar on top bold space bold plus bold space bold 0 bold space bold plus bold space bold 1 close parentheses bold space bold plus bold space open parentheses bold 0 bold. bold 5072 bold space bold plus bold space bold 0 bold. bold 8987 bold space bold plus bold space bold 1 bold. bold 9429 close parentheses

bold equals bold space bold 2 bold. bold 3488



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bold therefore bold space bold x bold space bold equals bold space bold 223 bold. bold 2


bold therefore bold space bold space open parentheses bold 0 bold. bold 3215 close parentheses bold space bold cross times bold space bold 7 bold. bold 92 bold space bold cross times bold space bold 87 bold. bold 69 bold space bold equals bold space bold 223 bold. bold 2


કિંમત શોધો : (લોગટેબલનો ઉપયોગ કરીને)
bold 3 bold. bold 8217 bold space bold cross times bold space bold 23 bold. bold 469 bold space bold cross times bold space bold 0 bold. bold 2987


ધારો કે, bold x bold space bold equals bold space bold 3 bold. bold 8217 bold space bold cross times bold space bold 23 bold. bold 469 bold space bold cross times bold space bold 0 bold. bold 2987

bold therefore bold space bold log bold space bold x bold space bold equals bold space bold log bold space bold 3 bold. bold 8217 bold space bold plus bold space bold log bold space bold 23 bold. bold 469 bold space bold plus bold space bold log bold space bold 0 bold. bold 2987


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bold equals bold space bold 0 bold. bold 5823 bold space bold plus bold space bold 1 bold. bold 3705 bold space bold plus bold space bold 1 with bold bar on top bold. bold 4752

bold equals bold space open parentheses bold 0 bold space bold plus bold space bold 1 bold space bold plus bold space bold 1 with bold bar on top close parentheses bold space bold plus bold space open parentheses bold 0 bold. bold 5823 bold space bold plus bold space bold 0 bold. bold 3705 bold space bold plus bold space bold 0 bold. bold 4752 close parentheses

bold equals bold space bold 0 bold space bold plus bold space bold 1 bold. bold 4280

bold equals bold space bold 1 bold. bold 4280



bold therefore bold space bold antilog bold space open parentheses bold log bold space bold x close parentheses bold space bold equals bold space bold antilog bold space open parentheses bold 1 bold. bold 4280 close parentheses

bold therefore bold space bold x bold space bold equals bold space bold 26 bold. bold 79

bold therefore bold space bold 3 bold. bold 8217 bold space bold cross times bold space bold 23 bold. bold 469 bold space bold cross times bold space bold 0 bold. bold 2987 bold space bold equals bold space bold 26 bold. bold 79


કિંમત શોધો : (લોગટેબલનો ઉપયોગ કરીને)
fraction numerator bold 3 bold. bold 98 bold space bold cross times bold space bold 8 bold. bold 76 bold space bold cross times bold space bold 0 bold. bold 1718 over denominator bold 0 bold. bold 03 bold space bold cross times bold space bold 0 bold. bold 526 bold space bold cross times bold space bold 8 bold. bold 43 end fraction




ધારો કે, bold x bold space bold equals bold space fraction numerator bold 3 bold. bold 98 bold space bold cross times bold space bold 8 bold. bold 76 bold space bold cross times bold space bold 0 bold. bold 1718 over denominator bold 0 bold. bold 03 bold space bold cross times bold space bold 0 bold. bold 526 bold space bold cross times bold space bold 8 bold. bold 43 end fraction


bold therefore bold space bold log bold space bold x bold space bold equals bold space open parentheses bold log bold space bold 3 bold. bold 98 bold space bold plus bold space bold log bold space bold 8 bold. bold 76 bold space bold plus bold space bold log bold space bold 0 bold. bold 1718 close parentheses bold space bold minus bold space open parentheses bold log bold space bold 0 bold. bold 03 bold space bold plus bold space bold log bold space bold 0 bold. bold 526 bold space bold plus bold space bold log bold space bold 8 bold. bold 43 close parentheses


              bold equals bold space open parentheses bold 0 bold. bold 5999 bold space bold plus bold space bold 0 bold. bold 9425 bold space bold plus bold space bold 1 with bold bar on top bold. bold 2350 close parentheses bold space bold minus bold space open parentheses bold 2 with bold bar on top bold. bold 4771 bold space bold plus bold space bold 1 with bold bar on top bold. bold 7210 bold space bold plus bold space bold 0 bold. bold 9258 close parentheses

bold equals bold space open curly brackets open parentheses bold 0 bold space bold plus bold space bold 0 bold space bold plus bold space bold 1 with bold bar on top close parentheses bold space bold plus bold space open parentheses bold 0 bold. bold 5999 bold space bold plus bold space bold 0 bold. bold 9425 bold space bold plus bold space bold 0 bold. bold 2350 close parentheses close curly brackets bold space bold minus bold space open curly brackets open parentheses bold 2 with bold bar on top bold space bold plus bold space bold 1 with bold bar on top bold space bold plus bold space bold 0 close parentheses bold space bold plus bold space open parentheses bold 0 bold. bold 4771 bold space bold plus bold space bold 0 bold. bold 7210 bold space bold plus bold space bold 0 bold. bold 9258 close parentheses close curly brackets

bold equals bold space open parentheses bold 1 with bold bar on top bold space bold plus bold space bold 1 bold. bold 7774 close parentheses bold space bold minus bold space open parentheses bold 3 with bold bar on top bold space bold plus bold space bold 2 bold. bold 1239 close parentheses

bold equals bold space bold 0 bold. bold 7774 bold space bold minus bold space bold 1 with bold bar on top bold. bold 1239

bold equals bold space bold 0 bold. bold 7774 bold space bold minus bold space open square brackets open parentheses bold 1 with bold bar on top close parentheses bold space bold plus bold space bold 0 bold. bold 1239 close square brackets

bold equals bold space bold 0 bold. bold 7774 bold space bold plus bold space bold 1 bold space bold minus bold space bold 0 bold. bold 1239

bold equals bold space bold 1 bold space bold plus bold space bold 0 bold. bold 7774 bold space bold minus bold space bold 0 bold. bold 1239

bold equals bold space bold 1 bold space bold plus bold space bold 0 bold. bold 6535

bold equals bold space bold 1 bold. bold 6535



bold therefore bold space bold antilog bold space open parentheses bold log bold space bold x close parentheses bold space bold equals bold space bold antilog bold space open parentheses bold 1 bold. bold 6535 close parentheses

bold therefore bold space bold x bold space bold equals bold space bold 45 bold. bold 03



bold therefore bold space fraction numerator bold 3 bold. bold 98 bold space bold cross times bold space bold 8 bold. bold 76 bold space bold cross times bold space bold 0 bold. bold 1718 over denominator bold 0 bold. bold 03 bold space bold cross times bold space bold 0 bold. bold 526 bold space bold cross times bold space bold 8 bold. bold 43 end fraction bold space bold equals bold space bold 45 bold. bold 03


કિંમત શોધો : (લોગટેબલનો ઉપયોગ કરીને)
fraction numerator open parentheses bold 23 bold. bold 76 close parentheses to the power of bold 2 bold space bold cross times bold space open parentheses bold 41 bold. bold 82 close parentheses over denominator open parentheses bold 11 bold. bold 372 close parentheses to the power of bold 3 end fraction



ધારો કે, bold x bold space bold equals bold space fraction numerator open parentheses bold 23 bold. bold 76 close parentheses to the power of bold 2 bold space bold cross times bold space open parentheses bold 41 bold. bold 82 close parentheses over denominator open parentheses bold 11 bold. bold 372 close parentheses to the power of bold 3 end fraction


bold therefore bold space bold log bold space bold x bold space bold equals bold space bold log bold space open parentheses bold 23 bold. bold 76 close parentheses to the power of bold 2 bold space bold plus bold space bold log bold space open parentheses bold 41 bold. bold 82 close parentheses bold space bold minus bold space bold log bold space open parentheses bold 11 bold. bold 372 close parentheses to the power of bold 3


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bold equals bold space bold 2 bold. bold 7516 bold space bold plus bold space bold 1 bold. bold 6214 bold space bold minus bold space bold 3 bold. bold 1671

bold equals bold space bold 4 bold. bold 3730 bold space bold minus bold space bold 3 bold. bold 1671

bold equals bold space bold 1 bold. bold 2059



bold therefore bold space bold antilog bold space bold left parenthesis bold log bold space bold x bold right parenthesis bold space bold equals bold space bold antilog bold space bold left parenthesis bold 1 bold. bold 2059 bold right parenthesis

bold therefore bold space bold x bold space bold equals bold space bold 16 bold. bold 06



bold therefore bold space fraction numerator open parentheses bold 23 bold. bold 76 close parentheses to the power of bold 2 bold space bold cross times bold space open parentheses bold 41 bold. bold 82 close parentheses over denominator open parentheses bold 11 bold. bold 372 close parentheses to the power of bold 3 end fraction bold space bold equals bold space bold 16 bold. bold 06


કિંમત શોધો : (લોગટેબલનો ઉપયોગ કરીને)
bold 47 bold. bold 37 bold space bold cross times bold space bold 1 bold. bold 921 bold space bold cross times bold space bold 771


ધારો કે, bold x bold space bold equals bold space bold 47 bold. bold 37 bold space bold cross times bold space bold 1 bold. bold 921 bold space bold cross times bold space bold 771

bold therefore bold space bold log bold space bold x bold space bold equals bold space bold log bold space bold 47 bold. bold 37 bold space bold plus bold space bold log bold space bold 1 bold. bold 921 bold space bold plus bold space bold log bold space bold 771


               bold equals bold space bold 1 bold. bold 6755 bold space bold plus bold space bold 0 bold. bold 2835 bold space bold plus bold space bold 2 bold. bold 8871

bold equals bold space bold 4 bold. bold 8461


bold therefore bold space bold antilog bold space bold left parenthesis bold log bold space bold x bold right parenthesis bold space bold equals bold space bold antilog bold space bold left parenthesis bold 4 bold. bold 8461 bold right parenthesis

bold therefore bold space bold x bold space bold equals bold space bold 70170


therefore space space bold 47 bold. bold 37 bold space bold cross times bold space bold 1 bold. bold 921 bold space bold cross times bold space bold 771 bold space bold equals bold space bold 70 bold. bold 170