Question

What is the solution to the equation?

Answer 1

\[5^{x}=17\]

Answer 2

x=lo 17 base 5

Answer 3

take log on both sides

Answer 4

sorry * log 17 base 5

Answer 5

you get xlog5=log17

Answer 6

x=log17/log5
use a calculator to solve it

Answer 7

@furan143 thanks for showing me how it looks cuz iddint know how to picture it

Answer 8

take the base 5 log of both sides

\[x = \log _{5} 17\]

use change of base... to base e logs

\[x = \ln(17)/\ln(5)\]

evaluate to find x

x = 1.76037

Answer 9

\[
\begin{align*}
5^x&=17 \\
\log_5 5^x&=\log_5 17 \\
x &= log_5 17 \\
x&=\frac{{log_{10}}17}{log_{10}5} \\
x&\approx1.7604
\end{align*}
\]