What is the answer to (4)^{2x-3}=(8)^{-x} ?

The answer to (4)^{2x-3}=(8)^{-x} is x= 6/7

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(4)^{2x-3}=(8)^{-x}

(4)^{2 x - 3} = (8)^{- x}

x = \frac{6}{7}

Decimal Notation

x = 0.85714 \dots

Solution steps

(4)^{2 x - 3} = (8)^{- x}

Apply exponent rules

2 (2 x - 3) = - 3 x

Solve

2 (2 x - 3) = - 3 x : x = \frac{6}{7}

x = \frac{6}{7}

7^{n} \cdot 7^{3} = 7^{12}

2^{a} = 9

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

2^{3 x + 5} = 4^{x + 3}

x, p^{x - 2} = q^{x + 1}

What is the answer to (4)^{2x-3}=(8)^{-x} ?
The answer to (4)^{2x-3}=(8)^{-x} is x= 6/7
Solve for x: (4)^{2x-3}=(8)^{-x}
The solution is x= 6/7