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

The answer to (1/2)^{3a}=2^{3a+3} is a=-1/2

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(1/2)^{3a}=2^{3a+3}

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

a = - \frac{1}{2}

Decimal Notation

a = - 0.5

Solution steps

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

Apply exponent rules

- 3 a = 3 a + 3

Solve

- 3 a = 3 a + 3 : a = - \frac{1}{2}

a = - \frac{1}{2}

2^{x - 2} = \frac{8}{2 ^{x - 3}}

5^{2 x} - 6 \cdot 5^{x} + 5 = 0

(\frac{1}{2})^{x} = 16

3^{- 2 x + 1} = 27

e^{2 x} = 7

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