Question

$log_{3}(81)$
​

Answer 1

Question :

Solve $\bf{log_3 \:81}$

Answer :

$\bf{log_3 \:81=4}$

Explanation :

Factor the number 81 :

Prime factorization: 81 = 3 × 3 × 3 × 3

                                       = 3⁴

So, $\bf{log_3 \:81} = log _3\left(3^4\right)}$

Apply Log Rule : $\bf{log _a\left(a^x\right)=x}$

$\bf{log _3\left(3^4\right)} = 4$

Regards :)

Answer 2

Step-by-step explanation:

Solve \bf{log_3 \:81}log

3

81

Answer :

\bf{log_3 \:81=4}log

3

81=4

Explanation :

Factor the number 81 :

Prime factorization: 81 = 3 × 3 × 3 × 3

= 3⁴

So, \bf{log_3 \:81} = log _3(3^4)}

Apply Log Rule : \bf{log _a(a^x)=x}log

a

(a

x

)=x

\bf{log _3(3^4)} = 4log

3

(3

4

)=4

Regards :)