what is the value of log₃81?\n2\n3\n4\n5

Answer:

C. 4

Explanation:

Step1: Recall log - exponent relationship

By the definition of logarithms, if $y = \log_{a}x$, then $a^{y}=x$. Here, $a = 3$, $x = 81$, and we need to find $y$. So we need to solve $3^{y}=81$.

Step2: Express 81 as a power of 3

We know that $81=3\times3\times3\times3 = 3^{4}$.

Step3: Determine the value of y

Since $3^{y}=3^{4}$, then $y = 4$. So $\log_{3}81 = 4$.