What is the answer to 0.8^x=0.5 ?

The answer to 0.8^x=0.5 is x=(ln(0.5))/(ln(0.8))

Solve for x: 0.8^x=0.5

The solution is x=(ln(0.5))/(ln(0.8))

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0. 8^{x} = 0.5

x = \frac{ln ( 0.5 )}{ln ( 0.8 )}

Decimal Notation

x = 3.10628 \dots

Solution steps

0. 8^{x} = 0.5

Apply exponent rules

x ln (0.8) = ln (0.5)

Solve

x ln (0.8) = ln (0.5) : x = \frac{ln ( 0.5 )}{ln ( 0.8 )}

x = \frac{ln ( 0.5 )}{ln ( 0.8 )}

e^{3.7 t} = 9.7

x, 2^{- x} = 10

y, 2 x = e^{y} - e^{- y}

3125 = 2^{x}

3^{5 x - 1} = 8

What is the answer to 0.8^x=0.5 ?
The answer to 0.8^x=0.5 is x=(ln(0.5))/(ln(0.8))
Solve for x: 0.8^x=0.5
The solution is x=(ln(0.5))/(ln(0.8))