What is the answer to (sqrt(2))^{3x}= 1/8 ?

The answer to (sqrt(2))^{3x}= 1/8 is x=-2

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(sqrt(2))^{3x}= 1/8

(2)^{3 x} = \frac{1}{8}

x = - 2

Solution steps

(2)^{3 x} = \frac{1}{8}

Apply exponent rules

\frac{3}{2} x = - 3

Solve

\frac{3}{2} x = - 3 : x = - 2

x = - 2

4^{x + 1} + 2^{x + 3} - 320 = 0

3 (2^{2 x}) - 10 (2^{x}) + 8 = 0

4 \cdot 2^{5 x} = 64

8^{x + 1} = 2^{2 x + 5}

2^{x + 1} = 3^{x - 1}

What is the answer to (sqrt(2))^{3x}= 1/8 ?
The answer to (sqrt(2))^{3x}= 1/8 is x=-2
Solve for x: (sqrt(2))^{3x}= 1/8
The solution is x=-2