Solve for x 8^x=32 - MathMaster

$8^{x} = 32$

Create equivalent expressions in the equation that all have equal bases.

$2^{3 x} = 2^{5}$

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$3 x = 5$

Divide each term by $3$ and simplify.

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Divide each term in $3 x = 5$ by $3$ .

$\frac{3 x}{3} = \frac{5}{3}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 x}{3} = \frac{5}{3}$

Divide $x$ by $1$ .

$x = \frac{5}{3}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5}{3}$

Decimal Form:

$x = 1.\overline{6}$

Mixed Number Form:

$x = 1 \frac{2}{3}$

Solve for x 8^x=32

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