What is the answer to 4^{2x}= 1/(2^3) ?

The answer to 4^{2x}= 1/(2^3) is x=-3/4

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4^{2x}= 1/(2^3)

4^{2 x} = \frac{1}{2 ^{3}}

x = - \frac{3}{4}

Decimal

x = - 0.75

Solution steps

4^{2 x} = \frac{1}{2 ^{3}}

Apply exponent rules

4 x = - 3

Solve

4 x = - 3 : x = - \frac{3}{4}

x = - \frac{3}{4}

7^{a} = 87

e^{x} + 2 = 0

4^{x} = 9^{x - 2}

10 e - 0.0 3^{t} = 4

3 4^{x + 1} = 1