Solve for x 3^2x=27^4

$3^{2} x = 27^{4}$

Step 1

Divide each term in $3^{2} x = 27^{4}$ by $3^{2}$ .

$\frac{3^{2} x}{3^{2}} = \frac{27^{4}}{3^{2}}$

Step 2

Simplify the left side.

Cancel the common factor of $3^{2}$ .

Cancel the common factor.

$\frac{3^{2} x}{3^{2}} = \frac{27^{4}}{3^{2}}$

Divide $x$ by $1$ .

$x = \frac{27^{4}}{3^{2}}$

Step 3

Simplify the right side.

Raise $27$ to the power of $4$ .

$x = \frac{531441}{3^{2}}$

Raise $3$ to the power of $2$ .

$x = \frac{531441}{9}$

Divide $531441$ by $9$ .

$x = 59049$