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(31A) Logarithms in base a

Evaluate.

$5^4$

Evaluate.

$\log _{8}512=$

Evaluate. Give your answers as fractions.

$5^{-1}$

Evaluate.

$\log _{7}\frac{1}{7}=$

Evaluate. Give your answers as fractions.

$625^{\frac{1}{4}}$

Evaluate. Give your answers as fractions.

$\log_{81}\frac{1}{3}$