solve the equation for x. log3 81 = x x = ?

Explanation:

Step1: Recall log - exponent relationship

By the definition of logarithms, if $\log_{a}b = x$, then $a^{x}=b$. Here $a = 3$, $b = 81$, so $3^{x}=81$.

Step2: Express 81 as a power of 3

We know that $81=3\times3\times3\times3 = 3^{4}$. So the equation $3^{x}=81$ becomes $3^{x}=3^{4}$.

Step3: Solve for x

Since the bases are the same, the exponents must be equal. So $x = 4$.

Answer:

$4$