What is the answer to sqrt(8^{x+1)}= 1/32 ?

The answer to sqrt(8^{x+1)}= 1/32 is x=-13/3

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sqrt(8^{x+1)}= 1/32

8^{x + 1} = \frac{1}{32}

x = - \frac{13}{3}

Decimal Notation

x = - 4.33333 \dots

Solution steps

8^{x + 1} = \frac{1}{32}

Apply exponent rules

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

Solve

\frac{3}{2} (x + 1) = - 5 : x = - \frac{13}{3}

x = - \frac{13}{3}

8000 = 2 e^{0.7 x} + 3

8 1^{x} - 9^{x} - 12 = 0

3^{2 x - 1} = \frac{1}{9}

(\frac{1}{4})^{x} = \frac{1}{250}

2 7^{3 x - 3} = 8 1^{2 x + 4}

What is the answer to sqrt(8^{x+1)}= 1/32 ?
The answer to sqrt(8^{x+1)}= 1/32 is x=-13/3
Solve for x: sqrt(8^{x+1)}= 1/32
The solution is x=-13/3