Evaluate log of (6/5)^6

$\log ({(\frac{6}{5})}^{6})$

Step 1

Apply the product rule to $\frac{6}{5}$ .

$\log (\frac{6^{6}}{5^{6}})$

Step 2

Raise $6$ to the power of $6$ .

$\log (\frac{46656}{5^{6}})$

Step 3

Raise $5$ to the power of $6$ .

$\log (\frac{46656}{15625})$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log (\frac{46656}{15625})$

Decimal Form:

$0.47508747 \dots$

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