What is the integral of (ln(x^4))/(ln(x^5)) ?

The integral of (ln(x^4))/(ln(x^5)) is 4/5 x+C

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integral of (ln(x^4))/(ln(x^5))

\int \frac{ln ( x ^{4} )}{ln ( x ^{5} )} d x

\frac{4}{5} x + C

Solution steps

\int \frac{ln ( x ^{4} )}{ln ( x ^{5} )} d x

\frac{ln ( x ^{4} )}{ln ( x ^{5} )} = \frac{4}{5}

= \int \frac{4}{5} d x

Integral of a constant:

\int a d x = a x

= \frac{4}{5} x

Add a constant to the solution

= \frac{4}{5} x + C

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What is the integral of (ln(x^4))/(ln(x^5)) ?
The integral of (ln(x^4))/(ln(x^5)) is 4/5 x+C