Precalculus Examples

$\frac{\log (3)}{4 \log (1.02125)}$

Step 1

Simplify $4 \log (1.02125)$ by moving $4$ inside the logarithm.

$\frac{\log (3)}{\log ({1.02125}^{4})}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Raise $1.02125$ to the power of $4$ .

$\frac{\log (3)}{\log (1.08774796)}$

Step 2.2

Log base $10$ of $1.08774796$ is approximately $0.03652827$ .

$\frac{\log (3)}{0.03652827}$

Step 3

Log base $10$ of $3$ is approximately $0.47712125$ .

$\frac{0.47712125}{0.03652827}$

Step 4

Divide $0.47712125$ by $0.03652827$ .

$13.06169572$