5^(x+2)=8.5 what is x?

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5^(x+2)=8.5

what is x?

Guest Nov 7, 2014

+118724

+5

Best Answer

$$\\5^{x+2}=8.5\\\\
log\;5^{x+2}=log\;8.5\\\\
(x+2)log\;5=log\;8.5\\\\
(x+2)=\frac{log\;8.5}{log\;5}\\\\
x=\frac{log\;8.5}{log\;5}-2\\\\$$

You can finish it - the site calc is on the home page :)

Melody Nov 7, 2014

Melody · Answer 1 · 2014-11-07T01:19:08

$$\\5^{x+2}=8.5\\\\
log\;5^{x+2}=log\;8.5\\\\
(x+2)log\;5=log\;8.5\\\\
(x+2)=\frac{log\;8.5}{log\;5}\\\\
x=\frac{log\;8.5}{log\;5}-2\\\\$$

You can finish it - the site calc is on the home page :)