Precalculus Examples

$e^{4 \ln (x) - 5 \ln (y^{2}) + \log (10^{\frac{x}{y}})}$

Step 1

Use logarithm rules to move $\frac{x}{y}$ out of the exponent.

$e^{4 \ln (x) - 5 \ln (y^{2}) + \frac{x}{y} \log (10)}$

Step 2

Logarithm base $10$ of $10$ is $1$ .

$e^{4 \ln (x) - 5 \ln (y^{2}) + \frac{x}{y} \cdot 1}$

Step 3

Multiply $\frac{x}{y}$ by $1$ .

$e^{4 \ln (x) - 5 \ln (y^{2}) + \frac{x}{y}}$