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Step-by-step Solution

Simplify the algebraic expression $\left(5x^{3−1}\right)^3\ln\left(x^2+1\right)$

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Answer

$\ln\left(\left(x^2+1\right)^{\left(\left(5x^{3−1}\right)^3\right)}\right)$

Step-by-step explanation

Problem to solve:

$\left(5x^{3−1}\right)^3\ln\left(x^2+1\right)$
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Using the power rule of logarithms

$\ln\left(\left(x^2+1\right)^{\left(\left(5x^{3−1}\right)^3\right)}\right)$

Answer

$\ln\left(\left(x^2+1\right)^{\left(\left(5x^{3−1}\right)^3\right)}\right)$
$\left(5x^{3−1}\right)^3\ln\left(x^2+1\right)$

Time to solve it:

~ 0.04 seconds