Using a calculator, evaluate the following logarithms by applying $``$ change-of-base rule$":$

$\log_53$

$\log_7\sqrt{416}$

$\log_2\frac{7}{25}$

6$\log_4999$

Using a calculator, solve for $x$ to the nearest hundredth.

$\log_6x = log_7 8$

$\log_{23}5 = log_x\sqrt{0.104}$

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