What is the answer to 0.5^{x/(10)}= 1/8 ?

The answer to 0.5^{x/(10)}= 1/8 is x=30

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0.5^{x/(10)}= 1/8

0. 5^{\frac{x}{10}} = \frac{1}{8}

x = 30

Solution steps

0. 5^{\frac{x}{10}} = \frac{1}{8}

Multiply both sides by

8

0. 5^{\frac{x}{10}} \cdot 8 = \frac{1}{8} \cdot 8

Simplify

0. 5^{\frac{x}{10}} \cdot 8 = 1

Divide both sides by

8

0. 5^{\frac{x}{10}} = \frac{1}{8}

Apply exponent rules

\frac{x}{10} = 3

Solve

\frac{x}{10} = 3 : x = 30

x = 30

8 1^{\frac{x}{4}} = \frac{1}{27}

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

2^{x} - 3^{x} = 0

2^{2 x + 2} + 2^{x + 3} = 320

2^{x} + 2^{x + 3} = 72

What is the answer to 0.5^{x/(10)}= 1/8 ?
The answer to 0.5^{x/(10)}= 1/8 is x=30
Solve for x: 0.5^{x/(10)}= 1/8
The solution is x=30