What is the answer to 6*2^{x/4}=222 ?

The answer to 6*2^{x/4}=222 is x=(4ln(37))/(ln(2))

Solve for x: 6*2^{x/4}=222

The solution is x=(4ln(37))/(ln(2))

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6 \cdot 2^{\frac{x}{4}} = 222

x = \frac{4 ln ( 37 )}{ln ( 2 )}

Decimal Notation

x = 20.83781 \dots

Solution steps

6 \cdot 2^{\frac{x}{4}} = 222

Divide both sides by

6

2^{\frac{x}{4}} = 37

Apply exponent rules

\frac{x}{4} ln (2) = ln (37)

Solve

\frac{x}{4} ln (2) = ln (37) : x = \frac{4 ln ( 37 )}{ln ( 2 )}

x = \frac{4 ln ( 37 )}{ln ( 2 )}

e^{2 x} + e^{x} = 0

6^{4 x - 9} = (\frac{1}{36})^{x - 4}

3^{x + 1} + 9^{x} = 108

3^{7 x + 4} = (\frac{1}{27})^{x - 3}

e^{4 - 4 x} = 5

What is the answer to 6*2^{x/4}=222 ?
The answer to 6*2^{x/4}=222 is x=(4ln(37))/(ln(2))
Solve for x: 6*2^{x/4}=222
The solution is x=(4ln(37))/(ln(2))