What is the answer to 2(0.5^x)=2.737 ?

The answer to 2(0.5^x)=2.737 is x=(ln(1.3685))/(ln(0.5))

Solve for x: 2(0.5^x)=2.737

The solution is x=(ln(1.3685))/(ln(0.5))

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2 (0. 5^{x}) = 2.737

x = \frac{ln ( 1.3685 )}{ln ( 0.5 )}

Decimal Notation

x = - 0.45259 \dots

Solution steps

2 (0. 5^{x}) = 2.737

Divide both sides by

2

0. 5^{x} = 1.3685

Apply exponent rules

x ln (0.5) = ln (1.3685)

Solve

x ln (0.5) = ln (1.3685) : x = \frac{ln ( 1.3685 )}{ln ( 0.5 )}

x = \frac{ln ( 1.3685 )}{ln ( 0.5 )}

16 = 2^{7 x - 5}

3 \cdot 5^{0.2 x} = 720

3^{2 x} = 7^{2 x - 1}

1.007 5^{x} = 1.251445278

x, 6 4^{x} = 1 6^{y}

What is the answer to 2(0.5^x)=2.737 ?
The answer to 2(0.5^x)=2.737 is x=(ln(1.3685))/(ln(0.5))
Solve for x: 2(0.5^x)=2.737
The solution is x=(ln(1.3685))/(ln(0.5))