Solve for x x+5=4^(3/2)

$x + 5 = 4^{\frac{3}{2}}$

Simplify $4^{\frac{3}{2}}$ .

Rewrite.

$x + 5 = 0 + 0 + 4^{\frac{3}{2}}$

Simplify the expression.

Rewrite $4$ as $2^{2}$ .

$x + 5 = {(2^{2})}^{\frac{3}{2}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$x + 5 = 2^{2 (\frac{3}{2})}$

Cancel the common factor of $2$ .

Cancel the common factor.

$x + 5 = 2^{2 (\frac{3}{2})}$

Rewrite the expression.

$x + 5 = 2^{3}$

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

$x + 5 = 8$

Move all terms not containing $x$ to the right side of the equation.

Subtract $5$ from both sides of the equation.

$x = 8 - 5$

Subtract $5$ from $8$ .

$x = 3$