How do you use the properties of logarithms to rewrite the expression $\frac{1}{8} {log}_{3} 81$ $1/8log_3 81$ ?

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Answer 1 · 2016-11-30T18:09:39

$\frac{1}{8} {log}_{3} 81 = \frac{1}{2}$ $1/8log_3 81 =1/2$

As $81 = 3^{4}$ $81=3^4$ , ${log}_{3} (81) = 4$ $log_3(81)=4$ and

$\frac{1}{8} {log}_{3} (81) = \frac{1}{8} \cdot 4 = \frac{1}{2}$ $1/8log_3(81)=1/8*4=1/2$

How do you use the properties of logarithms to rewrite the expression 1/8log_3 8118log3811/8log_3 81?