Algebra Examples

$5^{\log_{5} (3)} - \ln (e^{4}) + e^{0}$

Step 1

Simplify each term.

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Step 1.1

Exponentiation and log are inverse functions.

$3 - \ln (e^{4}) + e^{0}$

Step 1.2

Use logarithm rules to move $4$ out of the exponent.

$3 - (4 \ln (e)) + e^{0}$

Step 1.3

The natural logarithm of $e$ is $1$ .

$3 - (4 \cdot 1) + e^{0}$

Step 1.4

Multiply $4$ by $1$ .

$3 - 1 \cdot 4 + e^{0}$

Step 1.5

Multiply $- 1$ by $4$ .

$3 - 4 + e^{0}$

Step 1.6

Anything raised to $0$ is $1$ .

$3 - 4 + 1$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $4$ from $3$ .

$- 1 + 1$

Step 2.2

Add $- 1$ and $1$ .

$0$