Question

What is the solution to the equation 5^x=17 ?

Answer 1

xlog5 =log17

Answer 2

With \[a^b=c <> \log(a^b)=\log(c)\]
Then use
\[\log(a^b)=b \log(a)\]
Gives
\[b \log(a)=\log(c)\]
\[b=\frac{\log(c)}{\log(a)}\]

Answer 3

would it be ...
\[\log_{10} 17+\log_{10} 5\]
or
\[\frac{ \log_{10}17 }{ \log_{10} 5 }\]

Answer 4

these are the answer choices..

Answer 5

Yes for\[\frac{ \log_{10}17 }{ \log_{10} 5 }\]

Answer 6

\[\log(x)=\log_{10}(x)\]