# Properties of logarithms Calculator

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### Difficult Problems

1

Example

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

Calculating the natural logarithm of $1$

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

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

$0+\ln\left(e^{4x}\right)$
4

$x+0=x$, where $x$ is any expression

$\ln\left(e^{4x}\right)$
5

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

$\ln\left(e\right)\cdot 4x$
6

Calculating the natural logarithm of $e$

$1\cdot 4x$
7

Multiply $4$ times $1$

$4x$