Question

answer please
log81=​

Answer 1

Answer:

Answer:

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

3

81=4

Step-by-step explanation:

\begin{gathered}Value \: of \: log_{3}81\\= log_{3} \:3^{4}\\=4log_{3}3\end{gathered}

Valueoflog

3

81

=log

3

3

4

=4log

3

3

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

log

a

n

m

=mlog

a

n

= 4=4

\boxed { log_{a}a = 1}

log

a

a=1

Therefore.,

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

3

81=4

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Or

Let \: x = log_{3} 81Letx=log

3

81

/* Exponential form */

\implies 3^{x} = 81⟹3

x

=81

\implies 3^{x} = 3^{4}⟹3

x

=3

4

\implies x = 4⟹x=4

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

Ifa

m

=a

n

⟹m=n

Therefore.,

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

3

81=x=4

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