What is the answer to 12=650(0.5)^{x/2} ?

The answer to 12=650(0.5)^{x/2} is x=(2ln(6/325))/(ln(0.5))

Solve for x: 12=650(0.5)^{x/2}

The solution is x=(2ln(6/325))/(ln(0.5))

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12 = 650 (0.5)^{\frac{x}{2}}

x = \frac{2 ln ( \frac{6}{325} )}{ln ( 0.5 )}

Decimal Notation

x = 11.51866 \dots

Solution steps

12 = 650 (0.5)^{\frac{x}{2}}

Switch sides

650 \cdot 0. 5^{\frac{x}{2}} = 12

Divide both sides by

650

0. 5^{\frac{x}{2}} = \frac{6}{325}

Apply exponent rules

\frac{x}{2} ln (0.5) = ln (\frac{6}{325})

Solve

\frac{x}{2} ln (0.5) = ln (\frac{6}{325}) : x = \frac{2 ln ( \frac{6}{325} )}{ln ( 0.5 )}

x = \frac{2 ln ( \frac{6}{325} )}{ln ( 0.5 )}

2 7^{3} x - 1 = \frac{1}{8 1 ^{x}}

e^{- 2 l n (x)} = 0

9^{x} - 3^{x} = 3

e^{n + 8.2} + 5 = 5

k = \frac{e ^{t}}{t}

What is the answer to 12=650(0.5)^{x/2} ?
The answer to 12=650(0.5)^{x/2} is x=(2ln(6/325))/(ln(0.5))
Solve for x: 12=650(0.5)^{x/2}
The solution is x=(2ln(6/325))/(ln(0.5))