What is the answer to 144*2^{x/3}=16 ?

The answer to 144*2^{x/3}=16 is x=-(6ln(3))/(ln(2))

Solve for x: 144*2^{x/3}=16

The solution is x=-(6ln(3))/(ln(2))

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144 \cdot 2^{\frac{x}{3}} = 16

x = - \frac{6 ln ( 3 )}{ln ( 2 )}

Decimal Notation

x = - 9.50977 \dots

Solution steps

144 \cdot 2^{\frac{x}{3}} = 16

Divide both sides by

144

2^{\frac{x}{3}} = \frac{1}{9}

Apply exponent rules

\frac{x}{3} ln (2) = ln (\frac{1}{9})

Solve

\frac{x}{3} ln (2) = ln (\frac{1}{9}) : x = - \frac{6 ln ( 3 )}{ln ( 2 )}

x = - \frac{6 ln ( 3 )}{ln ( 2 )}

2^{3 x - 1} = 8^{x + 2}

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

75 \cdot 3^{x} = 375

9^{x} - 12 \times 3^{x} + 27 = 0

3^{2 x + 1} = 81

What is the answer to 144*2^{x/3}=16 ?
The answer to 144*2^{x/3}=16 is x=-(6ln(3))/(ln(2))
Solve for x: 144*2^{x/3}=16
The solution is x=-(6ln(3))/(ln(2))