Algebra Examples

$\log (8) \frac{x^{14} y^{3}}{z^{15}}$

Step 1

Rewrite $\log (8)$ as $\log (2^{3})$ .

$\log (2^{3}) \frac{x^{14} y^{3}}{z^{15}}$

Step 2

Expand $\log (2^{3})$ by moving $3$ outside the logarithm.

$3 \log (2) \frac{x^{14} y^{3}}{z^{15}}$

Step 3

Multiply $3 \log (2) \frac{x^{14} y^{3}}{z^{15}}$ .

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Step 3.1

Combine $\frac{x^{14} y^{3}}{z^{15}}$ and $3$ .

$\frac{x^{14} y^{3} \cdot 3}{z^{15}} \log (2)$

Step 3.2

Combine $\frac{x^{14} y^{3} \cdot 3}{z^{15}}$ and $\log (2)$ .

$\frac{x^{14} y^{3} \cdot 3 \log (2)}{z^{15}}$

Step 4

Move $3$ to the left of $x^{14} y^{3}$ .

$\frac{3 x^{14} y^{3} \log (2)}{z^{15}}$