Precalculus Examples

$\log_{4} (\frac{1}{64}) - \log_{5} (25)$

Step 1

Simplify each term.

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Step 1.1

Logarithm base $4$ of $\frac{1}{64}$ is $- 3$ .

$- 3 - \log_{5} (25)$

Step 1.2

Logarithm base $5$ of $25$ is $2$ .

$- 3 - 1 \cdot 2$

Step 1.3

Multiply $- 1$ by $2$ .

$- 3 - 2$

$- 3 - 2$

Step 2

Subtract $2$ from $- 3$ .

$- 5$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$