Question

Solve 4^(x) = 12

Answer 1

divide 12 by 4 and you get x= 3

Answer 2

you have to use the log( ) function. a^x = b => alog( a^x) = alog(b) => x = alog(b)

Answer 3

\(\bf 4^{x} = 12\\\quad \\
\textit{log cancellation rule of } log_aa^x = x\\\quad \\
log_4( 4^{x}) = log_4(12) \implies x = log_4(12)\\ \quad \\
\textit{using log change of base rule of } log_ab = \cfrac{log_cb}{log_ca}\\ \quad \\
x = log_4(12) \implies x = \cfrac{log_{10}4}{log_{10}12}\)