What is the answer to 16=660(0.5)^{x/2} ?

The answer to 16=660(0.5)^{x/2} is x=(2ln(4/165))/(ln(0.5))

Solve for x: 16=660(0.5)^{x/2}

The solution is x=(2ln(4/165))/(ln(0.5))

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16 = 660 (0.5)^{\frac{x}{2}}

x = \frac{2 ln ( \frac{4}{165} )}{ln ( 0.5 )}

Solution steps

16 = 660 (0.5)^{\frac{x}{2}}

Switch sides

660 \cdot 0. 5^{\frac{x}{2}} = 16

Divide both sides by

660

0. 5^{\frac{x}{2}} = \frac{4}{165}

Apply exponent rules

\frac{x}{2} ln (0.5) = ln (\frac{4}{165})

Solve

\frac{x}{2} ln (0.5) = ln (\frac{4}{165}) : x = \frac{2 ln ( \frac{4}{165} )}{ln ( 0.5 )}

x = \frac{2 ln ( \frac{4}{165} )}{ln ( 0.5 )}

e^{3 x} = 100

x, 4 e^{2 x + 3} = 7 e^{3 x - 2}

5^{x} = 87

What is the answer to 16=660(0.5)^{x/2} ?
The answer to 16=660(0.5)^{x/2} is x=(2ln(4/165))/(ln(0.5))
Solve for x: 16=660(0.5)^{x/2}
The solution is x=(2ln(4/165))/(ln(0.5))