What is the answer to 5(2^{3x})=9 ?

The answer to 5(2^{3x})=9 is x=(ln(9/5))/(3ln(2))

Solve for x: 5(2^{3x})=9

The solution is x=(ln(9/5))/(3ln(2))

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5 (2^{3 x}) = 9

x = \frac{ln ( \frac{9}{5} )}{3 ln ( 2 )}

Decimal Notation

x = 0.28266 \dots

Solution steps

5 (2^{3 x}) = 9

Divide both sides by

5

2^{3 x} = \frac{9}{5}

Apply exponent rules

3 x ln (2) = ln (\frac{9}{5})

Solve

3 x ln (2) = ln (\frac{9}{5}) : x = \frac{ln ( \frac{9}{5} )}{3 ln ( 2 )}

x = \frac{ln ( \frac{9}{5} )}{3 ln ( 2 )}

5^{x} = 15

32 = 2^{x}

36 e^{5 - z} - 6^{2 z} = 0

4^{x} = \frac{1}{64}

2^{2 x + 4} - 9 (2^{x}) = 0

What is the answer to 5(2^{3x})=9 ?
The answer to 5(2^{3x})=9 is x=(ln(9/5))/(3ln(2))
Solve for x: 5(2^{3x})=9
The solution is x=(ln(9/5))/(3ln(2))