What is the answer to 8^{0.4x}=5 ?

The answer to 8^{0.4x}=5 is x=(ln(5))/(1.2ln(2))

Solve for x: 8^{0.4x}=5

The solution is x=(ln(5))/(1.2ln(2))

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8^{0.4 x} = 5

x = \frac{ln ( 5 )}{1.2 ln ( 2 )}

Decimal Notation

x = 1.93494 \dots

Solution steps

8^{0.4 x} = 5

Apply exponent rules

0.4 x ln (8) = ln (5)

Solve

0.4 x ln (8) = ln (5) : x = \frac{ln ( 5 )}{1.2 ln ( 2 )}

x = \frac{ln ( 5 )}{1.2 ln ( 2 )}

x, 8 1^{4 x + 4} = 3^{x^{2} + 10 x - 11}

4 9^{x + 1} = (\frac{1}{7})^{x}

4 \cdot 5^{x} + 25 = 5^{x + 1} - 4 \cdot 5^{x - 1}

e^{x + 1} - 2^{3 - x} = 0

9^{2 x - 4} = 2 7^{x - 1}

What is the answer to 8^{0.4x}=5 ?
The answer to 8^{0.4x}=5 is x=(ln(5))/(1.2ln(2))
Solve for x: 8^{0.4x}=5
The solution is x=(ln(5))/(1.2ln(2))