Solve 180 = 2x^402x^52

Evaluate

180 = 2 x^{4} \times 2 x^{5} \times 2

Simplify

More Steps

180 = 2^{3} x^{9}

Swap the sides of the equation

2^{3} x^{9} = 180

Divide both sides

\frac{2 ^{3} x ^{9}}{2 ^{3}} = \frac{180}{2 ^{3}}

Divide the numbers

x^{9} = \frac{180}{2 ^{3}}

Divide the numbers

More Steps

x^{9} = \frac{45}{2}

Take the 9 -th root on both sides of the equation

9 x^{9} = 9 \frac{45}{2}

Calculate

x = 9 \frac{45}{2}

Solution

More Steps

x = \frac{9 11520}{2}

Alternative Form

x \approx 1.413326

Solve the equation