# Properties of logarithms Calculator

## Get detailed solutions to your math problems with our Properties of logarithms step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here!

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### Difficult Problems

1

Solved example of properties of logarithms

$\ln\left(e^{4x}\right)-\ln\left(1\right)$
2

Calculating the natural logarithm of $1$

$\ln\left(e^{4x}\right)-1\cdot 0$
3

Any expression multiplied by $0$ is equal to $0$

$\ln\left(e^{4x}\right)$

Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$

$4x$
4

Apply the formula: $\ln\left(e^x\right)$$=x$, where $x=4x$

$4x$

$4x$

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