Precalculus Examples

$\frac{\log (11)}{4 \log (4.7)}$

Step 1

Simplify $4 \log (4.7)$ by moving $4$ inside the logarithm.

$\frac{\log (11)}{\log ({4.7}^{4})}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $4.7$ to the power of $4$ .

$\frac{\log (11)}{\log (487.9681)}$

Step 2.2

Log base $10$ of $487.9681$ is approximately $2.68839143$ .

$\frac{\log (11)}{2.68839143}$

Step 3

Log base $10$ of $11$ is approximately $1.04139268$ .

$\frac{1.04139268}{2.68839143}$

Step 4

Divide $1.04139268$ by $2.68839143$ .

$0.38736646$