What is the answer to 0.5^x=0.15 ?

The answer to 0.5^x=0.15 is x=(ln(0.15))/(ln(0.5))

Solve for x: 0.5^x=0.15

The solution is x=(ln(0.15))/(ln(0.5))

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0. 5^{x} = 0.15

x = \frac{ln ( 0.15 )}{ln ( 0.5 )}

Decimal Notation

x = 2.73696 \dots

Solution steps

0. 5^{x} = 0.15

Apply exponent rules

x ln (0.5) = ln (0.15)

Solve

x ln (0.5) = ln (0.15) : x = \frac{ln ( 0.15 )}{ln ( 0.5 )}

x = \frac{ln ( 0.15 )}{ln ( 0.5 )}

5^{2 x - 1} = 0.2

1 0^{2 x + 1} = 115

100 = 75 e^{0.05 x}

1 4^{6 x} = 6 4^{x + 3}

[(4)^{2}]^{x} = 256

What is the answer to 0.5^x=0.15 ?
The answer to 0.5^x=0.15 is x=(ln(0.15))/(ln(0.5))
Solve for x: 0.5^x=0.15
The solution is x=(ln(0.15))/(ln(0.5))