What is the answer to 144*2^{x/3}=1616 ?

The answer to 144*2^{x/3}=1616 is x=(3ln(101/9))/(ln(2))

Solve for x: 144*2^{x/3}=1616

The solution is x=(3ln(101/9))/(ln(2))

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144 \cdot 2^{\frac{x}{3}} = 1616

x = \frac{3 ln ( \frac{101}{9} )}{ln ( 2 )}

Decimal Notation

x = 10.46485 \dots

Solution steps

144 \cdot 2^{\frac{x}{3}} = 1616

Divide both sides by

144

2^{\frac{x}{3}} = \frac{101}{9}

Apply exponent rules

\frac{x}{3} ln (2) = ln (\frac{101}{9})

Solve

\frac{x}{3} ln (2) = ln (\frac{101}{9}) : x = \frac{3 ln ( \frac{101}{9} )}{ln ( 2 )}

x = \frac{3 ln ( \frac{101}{9} )}{ln ( 2 )}

3^{4 x + 1} - 5 = 22

\frac{2 ^{x^{2}}}{4 ^{x}} = 16

e^{- x} - x + 1 = 0

9^{x + 1} - 28 \cdot 3^{x} + 3 = 0

3 \cdot 6^{1 - x} = 15

What is the answer to 144*2^{x/3}=1616 ?
The answer to 144*2^{x/3}=1616 is x=(3ln(101/9))/(ln(2))
Solve for x: 144*2^{x/3}=1616
The solution is x=(3ln(101/9))/(ln(2))