What is the answer to ((2^x))/((2^{3x))}= 1/64 ?

The answer to ((2^x))/((2^{3x))}= 1/64 is x=3

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((2^x))/((2^{3x))}= 1/64

\frac{( 2 ^{x} )}{( 2 ^{3 x} )} = \frac{1}{64}

x = 3

Solution steps

\frac{( 2 ^{x} )}{( 2 ^{3 x} )} = \frac{1}{64}

Apply exponent rules

- 2 x = - 6

Solve

- 2 x = - 6 : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

4^{x - 4} = 3^{2 x - 8}

2^{a} = 3

2^{x} + 2^{- x} = 5

2^{x} + 2^{- x} = 3

5^{n} \cdot (\frac{1}{5})^{3} = 125

What is the answer to ((2^x))/((2^{3x))}= 1/64 ?
The answer to ((2^x))/((2^{3x))}= 1/64 is x=3
Solve for x: ((2^x))/((2^{3x))}= 1/64
The solution is x=3