Question

What is the inverse of the exponential function, f(x)=5^x?

Answer 1

\(y=a^x\implies \log_a(y)=x\)
so, we just switch the variables
\(y=\log_a(x)\)

Answer 2

\(f(x)=y=a^x\implies \log_a(y)=x\)
so we make this our inverse
\(f^{-1}(x)=\log_a(x)\)

Answer 3

So it would just be log_5^x?

Answer 4

hmmm?

Answer 5

write it like this \(\log_5(x)=\) log_5(x)

Answer 6

dont use ^

Answer 7

Cool, thank you

Answer 8

np