Question

log 81 base 3 is equal to?

Answer 1

Hi
here is ur answer :- log 81 base 3 is equal to 4

Answer 2

Answer:

$Value \: of \: log_{3}81 = 4$

Step-by-step explanation:

$Value \: of \: log_{3}81\\= log_{3} \:3^{4}\\=4log_{3}3$

$\boxed { log_{a} n^{m} = m log_{a}n}$

$= 4$

$\boxed { log_{a}a = 1}$

Therefore.,

$Value \: of \: log_{3}81 = 4$

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Or

$Let \: x = log_{3} 81$

/* Exponential form */

$\implies 3^{x} = 81$

$\implies 3^{x} = 3^{4}$

$\implies x = 4$

$\boxed { If \: a^m = a^n \: \implies m = n }$

Therefore.,

$Value \: of \: log_{3}81 = x = 4$

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