What is the answer to (1/2)^x=0.9 ?

The answer to (1/2)^x=0.9 is x=-(ln(0.9))/(ln(2))

Solve for x: (1/2)^x=0.9

The solution is x=-(ln(0.9))/(ln(2))

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(\frac{1}{2})^{x} = 0.9

x = - \frac{ln ( 0.9 )}{ln ( 2 )}

Decimal Notation

x = 0.15200 \dots

Solution steps

(\frac{1}{2})^{x} = 0.9

Apply exponent rules

x ln (\frac{1}{2}) = ln (0.9)

Solve

x ln (\frac{1}{2}) = ln (0.9) : x = - \frac{ln ( 0.9 )}{ln ( 2 )}

x = - \frac{ln ( 0.9 )}{ln ( 2 )}

2^{2 x + 1} = 4^{x} + 64

e^{x} - 3 = 0

40 e^{0.6 x} - 3 = 237

5^{x - 2} = 8

21 6^{m} = 36

What is the answer to (1/2)^x=0.9 ?
The answer to (1/2)^x=0.9 is x=-(ln(0.9))/(ln(2))
Solve for x: (1/2)^x=0.9
The solution is x=-(ln(0.9))/(ln(2))