Precalculus Examples

$\log (2) x = 2$

Step 1

Divide each term in $\log (2) x = 2$ by $\log (2)$ .

$\frac{\log (2) x}{\log (2)} = \frac{2}{\log (2)}$

Step 2

Simplify the left side.

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Step 2.1

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

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Step 2.1.1

Cancel the common factor.

$\frac{\log (2) x}{\log (2)} = \frac{2}{\log (2)}$

Step 2.1.2

Divide $x$ by $1$ .

$x = \frac{2}{\log (2)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{2}{\log (2)}$

Decimal Form:

$x = 6.64385618 \dots$