What is the answer to 2^{3x}=0.5^{3x+2} ?

The answer to 2^{3x}=0.5^{3x+2} is x=-1/3

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2^{3x}=0.5^{3x+2}

2^{3 x} = 0. 5^{3 x + 2}

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

2^{3 x} = 0. 5^{3 x + 2}

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

Apply exponent rules

3 x = - (3 x + 2)

Solve

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

x = - \frac{1}{3}

3^{3 x} \cdot 6^{x} = \frac{1}{2916}

5 \cdot 2^{x + 3} = \frac{5}{4}

9^{2 x + 1} = 729

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

7^{x} = \frac{1}{343}

What is the answer to 2^{3x}=0.5^{3x+2} ?
The answer to 2^{3x}=0.5^{3x+2} is x=-1/3
Solve for x: 2^{3x}=0.5^{3x+2}
The solution is x=-1/3