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Hi i wonder if there any method to solve x
9^x=(19*10^6)/ 26 Thanks!

 Aug 13, 2015

Best Answer 

 #1
avatar+118723 
+10

$$\\9^x=(19*10^6)/ 26\\\\
9^x=19/26*10^6\\\\
log(9^x)=log(19/26*10^6)\\\\
xlog(9)=log(19/26)+log(10^6)\\\\
x=\frac{log(19/26)+6}{log(9)}\\\\$$

 

$${\frac{\left({log}_{10}\left({\frac{{\mathtt{19}}}{{\mathtt{26}}}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{6}}\right)}{{log}_{10}\left({\mathtt{9}}\right)}} = {\mathtt{6.144\: \!958\: \!115\: \!969\: \!216\: \!2}}$$

.
 Aug 13, 2015
 #1
avatar+118723 
+10
Best Answer

$$\\9^x=(19*10^6)/ 26\\\\
9^x=19/26*10^6\\\\
log(9^x)=log(19/26*10^6)\\\\
xlog(9)=log(19/26)+log(10^6)\\\\
x=\frac{log(19/26)+6}{log(9)}\\\\$$

 

$${\frac{\left({log}_{10}\left({\frac{{\mathtt{19}}}{{\mathtt{26}}}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{6}}\right)}{{log}_{10}\left({\mathtt{9}}\right)}} = {\mathtt{6.144\: \!958\: \!115\: \!969\: \!216\: \!2}}$$

Melody Aug 13, 2015

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