evaluate $log_{3}81$.\n$log_{3}81 = \\square$

evaluate $log_{3}81$.\n$log_{3}81 = \\square$

evaluate $log_{3}81$.\n$log_{3}81 = \\square$

Answer

Explanation:

Step1: Rewrite 81 as power of 3

$81 = 3^4$

Step2: Apply logarithm power rule

$\log_{3}3^4 = 4\log_{3}3$

Step3: Use $\log_a a = 1$

$4\log_{3}3 = 4\times1$

Answer:

4