What is the answer to 5(2^{3x})=8 ?

The answer to 5(2^{3x})=8 is x=(ln(8/5))/(3ln(2))

Solve for x: 5(2^{3x})=8

The solution is x=(ln(8/5))/(3ln(2))

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5 (2^{3 x}) = 8

x = \frac{ln ( \frac{8}{5} )}{3 ln ( 2 )}

Decimal Notation

x = 0.22602 \dots

Solution steps

5 (2^{3 x}) = 8

Divide both sides by

5

2^{3 x} = \frac{8}{5}

Apply exponent rules

3 x ln (2) = ln (\frac{8}{5})

Solve

3 x ln (2) = ln (\frac{8}{5}) : x = \frac{ln ( \frac{8}{5} )}{3 ln ( 2 )}

x = \frac{ln ( \frac{8}{5} )}{3 ln ( 2 )}

2^{3 x + 1} - 2^{2 x - 1} = 2^{x + 3} - 2

2^{5 x - 2} = 2^{x}

x, e^{x - 3} = 2

(\frac{2}{3})^{x} = 5^{x - 1}

3^{x + 2} + 3^{2 - x} = 82

What is the answer to 5(2^{3x})=8 ?
The answer to 5(2^{3x})=8 is x=(ln(8/5))/(3ln(2))
Solve for x: 5(2^{3x})=8
The solution is x=(ln(8/5))/(3ln(2))