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

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

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

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

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

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

Apply exponent rules

x \cdot 3 = 3 (- x + 3)

Solve

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

x = \frac{3}{2}

e^{x} = 28

2 e^{x} - 9 e^{x} + 4 = 0

e^{x} = 70

2^{x - 2} + 1 = x

3 e^{0.007 x} = 2.4 e^{0.06 x}

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