Algebra Examples

$\log_{4} (64) + \log_{2} (32) - \log_{3} (27)$

Step 1

Simplify each term.

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Step 1.1

Logarithm base $4$ of $64$ is $3$ .

$3 + \log_{2} (32) - \log_{3} (27)$

Step 1.2

Logarithm base $2$ of $32$ is $5$ .

$3 + 5 - \log_{3} (27)$

Step 1.3

Logarithm base $3$ of $27$ is $3$ .

$3 + 5 - 1 \cdot 3$

Step 1.4

Multiply $- 1$ by $3$ .

$3 + 5 - 3$

$3 + 5 - 3$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $3$ and $5$ .

$8 - 3$

Step 2.2

Subtract $3$ from $8$ .

$5$

$5$

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