What is the answer to 4(2^{8x})=9 ?

The answer to 4(2^{8x})=9 is x=(ln(9/4))/(8ln(2))

Solve for x: 4(2^{8x})=9

The solution is x=(ln(9/4))/(8ln(2))

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4 (2^{8 x}) = 9

x = \frac{ln ( \frac{9}{4} )}{8 ln ( 2 )}

Decimal Notation

x = 0.14624 \dots

Solution steps

4 (2^{8 x}) = 9

Divide both sides by

4

2^{8 x} = \frac{9}{4}

Apply exponent rules

8 x ln (2) = ln (\frac{9}{4})

Solve

8 x ln (2) = ln (\frac{9}{4}) : x = \frac{ln ( \frac{9}{4} )}{8 ln ( 2 )}

x = \frac{ln ( \frac{9}{4} )}{8 ln ( 2 )}

(2 3^{x - 6})^{2 x + 5} = 1

32 = 1 (2)^{n - 1}

x, e^{3 - 2 x} = 4

5^{x} = 48

5^{x} = 24

What is the answer to 4(2^{8x})=9 ?
The answer to 4(2^{8x})=9 is x=(ln(9/4))/(8ln(2))
Solve for x: 4(2^{8x})=9
The solution is x=(ln(9/4))/(8ln(2))