Precalculus Examples

$\frac{\log (2^{\sqrt{3}})}{\log (2)}$

Step 1

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

$\frac{\sqrt{3} \log (2)}{\log (2)}$

Step 2

Cancel the common factor of $\log (2)$ .

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Step 2.1

Cancel the common factor.

$\frac{\sqrt{3} \log (2)}{\log (2)}$

Step 2.2

Divide $\sqrt{3}$ by $1$ .

$\sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3}$

Decimal Form:

$1.73205080 \dots$