What is the answer to 0.8^x=0.05 ?

The answer to 0.8^x=0.05 is x=(ln(0.05))/(ln(0.8))

Solve for x: 0.8^x=0.05

The solution is x=(ln(0.05))/(ln(0.8))

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0. 8^{x} = 0.05

x = \frac{ln ( 0.05 )}{ln ( 0.8 )}

Solution steps

0. 8^{x} = 0.05

Apply exponent rules

x ln (0.8) = ln (0.05)

Solve

x ln (0.8) = ln (0.05) : x = \frac{ln ( 0.05 )}{ln ( 0.8 )}

x = \frac{ln ( 0.05 )}{ln ( 0.8 )}

2^{1 - x} = 3^{2 x + 5}

e^{2 x - 3} = 75

3^{2 x} - 5 \cdot 3^{x} - 36 = 0

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

3 \cdot 2^{x + 2} - 5 \cdot 2^{x} = 56

What is the answer to 0.8^x=0.05 ?
The answer to 0.8^x=0.05 is x=(ln(0.05))/(ln(0.8))
Solve for x: 0.8^x=0.05
The solution is x=(ln(0.05))/(ln(0.8))