Precalculus Examples

$\frac{\log (316) - \log (7)}{2 \log (7)}$

Step 1

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\frac{\log (\frac{316}{7})}{2 \log (7)}$

Step 2

Simplify $2 \log (7)$ by moving $2$ inside the logarithm.

$\frac{\log (\frac{316}{7})}{\log (7^{2})}$

Step 3

Raise $7$ to the power of $2$ .

$\frac{\log (\frac{316}{7})}{\log (49)}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\log (\frac{316}{7})}{\log (49)}$

Decimal Form:

$0.97893319 \dots$