Question

How can exopential equations with unequal bases be solved Ex:64=3^(4x)

Answer 1

\(64\) has no base

Answer 2

well take the log and solve

Answer 3

\[b^x=A\iff x=\frac{\log(A)}{\log(b)}\] so
\[3^{4x}=64\iff 4x=\frac{\log(64)}{\log(3)}\]

Answer 4

Oh ok

Answer 5

Is that it or are their more steps?