Solve x:(2/3)^5=(3/4)^5

$$x : ( \frac { 2 } { 3 } ) ^ { 5 } = ( \frac { 3 } { 4 } ) ^ { 5 }$$

Solve for x

$$x=\frac{1}{32}=0.03125$$

Steps for Solving Linear Equation

Calculate \frac{2}{3} to the power of 5 and get \frac{32}{243}.

$$\frac{x}{\frac{32}{243}}=\left(\frac{3}{4}\right)^{5}$$

Calculate \frac{3}{4} to the power of 5 and get \frac{243}{1024}.

$$\frac{x}{\frac{32}{243}}=\frac{243}{1024}$$

Multiply both sides by \frac{32}{243}.

$$x=\frac{243}{1024}\times \frac{32}{243}$$

Multiply \frac{243}{1024} times \frac{32}{243} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{243\times 32}{1024\times 243}$$

Cancel out 243 in both numerator and denominator.

$$x=\frac{32}{1024}$$

Reduce the fraction \frac{32}{1024} to lowest terms by extracting and canceling out 32.

$$x=\frac{1}{32}$$