Precalculus Examples

$\frac{\log (2)}{8 \log (1.04)}$

Step 1

Simplify $8 \log (1.04)$ by moving $8$ inside the logarithm.

$\frac{\log (2)}{\log ({1.04}^{8})}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $1.04$ to the power of $8$ .

$\frac{\log (2)}{\log (1.36856905)}$

Step 2.2

Log base $10$ of $1.36856905$ is approximately $0.13626671$ .

$\frac{\log (2)}{0.13626671}$

Step 3

Log base $10$ of $2$ is approximately $0.30102999$ .

$\frac{0.30102999}{0.13626671}$

Step 4

Divide $0.30102999$ by $0.13626671$ .

$2.20912346$