What is the answer to 2^{4-3x}=16^{2/5} ?

The answer to 2^{4-3x}=16^{2/5} is x= 4/5

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2^{4-3x}=16^{2/5}

2^{4 - 3 x} = 1 6^{\frac{2}{5}}

x = \frac{4}{5}

Solution steps

2^{4 - 3 x} = 1 6^{\frac{2}{5}}

Apply exponent rules

4 - 3 x = \frac{8}{5}

Solve

4 - 3 x = \frac{8}{5} : x = \frac{4}{5}

x = \frac{4}{5}

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

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

9^{x} - 4 (3^{x + 1}) + 27 = 0

2 = 1. 1^{x}

What is the answer to 2^{4-3x}=16^{2/5} ?
The answer to 2^{4-3x}=16^{2/5} is x= 4/5
Solve for x: 2^{4-3x}=16^{2/5}
The solution is x= 4/5