What is the answer to (2^{5x})/((2^x))=32^{1/5} ?

The answer to (2^{5x})/((2^x))=32^{1/5} is x= 1/4

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(2^{5x})/((2^x))=32^{1/5}

\frac{2 ^{5 x}}{( 2 ^{x} )} = 3 2^{\frac{1}{5}}

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

\frac{2 ^{5 x}}{( 2 ^{x} )} = 3 2^{\frac{1}{5}}

Apply exponent rules

4 x = 1

Solve

4 x = 1 : x = \frac{1}{4}

x = \frac{1}{4}

Verify Solutions:

x = \frac{1}{4}

True

The solution is

x = \frac{1}{4}

n^{n} = 2

e^{x} + 3 e^{- x} = 4

4^{x + 1} = 1 6^{x - 7}

1000 = 21 (1.2)^{t}

4^{x} = 32

What is the answer to (2^{5x})/((2^x))=32^{1/5} ?
The answer to (2^{5x})/((2^x))=32^{1/5} is x= 1/4
Solve for x: (2^{5x})/((2^x))=32^{1/5}
The solution is x= 1/4