What is the answer to 288*2^{x/4}=96 ?

The answer to 288*2^{x/4}=96 is x=-(4ln(3))/(ln(2))

Solve for x: 288*2^{x/4}=96

The solution is x=-(4ln(3))/(ln(2))

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288 \cdot 2^{\frac{x}{4}} = 96

x = - \frac{4 ln ( 3 )}{ln ( 2 )}

Decimal

x = - 6.33985 \dots

Solution steps

288 \cdot 2^{\frac{x}{4}} = 96

Divide both sides by

288

2^{\frac{x}{4}} = \frac{1}{3}

Apply exponent rules

\frac{x}{4} ln (2) = ln (\frac{1}{3})

Solve

\frac{x}{4} ln (2) = ln (\frac{1}{3}) : x = - \frac{4 ln ( 3 )}{ln ( 2 )}

x = - \frac{4 ln ( 3 )}{ln ( 2 )}

2^{2 x - 3} = 5^{x - 2}

1 0^{- x} = 169

- e^{x} x - 6 e^{x} = 0

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

3 6^{x - 5} = \frac{1}{6}

What is the answer to 288*2^{x/4}=96 ?
The answer to 288*2^{x/4}=96 is x=-(4ln(3))/(ln(2))
Solve for x: 288*2^{x/4}=96
The solution is x=-(4ln(3))/(ln(2))