Precalculus Examples

$\log_{4} (35) - \log_{4} (16) - \log_{4} (35)$

Step 1

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

$\log_{4} (\frac{35}{16}) - \log_{4} (35)$

Step 2

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

$\log_{4} (\frac{\frac{35}{16}}{35})$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\log_{4} (\frac{35}{16} \cdot \frac{1}{35})$

Step 4

Cancel the common factor of $35$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

$\log_{4} (\frac{35}{16} \cdot \frac{1}{35})$

Step 4.2

Rewrite the expression.

$\log_{4} (\frac{1}{16})$

Step 5

Logarithm base $4$ of $\frac{1}{16}$ is $- 2$ .

$- 2$