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(31A) Logarithms in base a

Evaluate.

$4^3$

Evaluate.

$\log _{2}32=$

Evaluate. Give your answers as fractions.

$2^{-3}$

Evaluate.

$\log _{7}\frac{1}{343}=$

Evaluate. Give your answers as fractions.

$243^{\frac{1}{5}}$

Evaluate. Give your answers as fractions.

$\log_{4}\frac{1}{2}$