Q.Solve for $x$: $\log_3 x = 4$.

Convert the logarithmic equation directly to exponential form using the definition.

By the definition of logarithm, $\log_a N=x \iff a^x=N$. Applying this to $\log_3 x=4$ (base $3$, exponent $4$, result $x$):

Evaluating: $3^4=3\times3\times3\times3=81$. …

Confusing which quantity becomes the base and which becomes the exponent when converting from logarithmic to exponential fo …