What is the answer to 6*2^x=14 ?

The answer to 6*2^x=14 is x=(ln(7/3))/(ln(2))

Solve for x: 6*2^x=14

The solution is x=(ln(7/3))/(ln(2))

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6 \cdot 2^{x} = 14

x = \frac{ln ( \frac{7}{3} )}{ln ( 2 )}

Decimal Notation

x = 1.22239 \dots

Solution steps

6 \cdot 2^{x} = 14

Divide both sides by

6

2^{x} = \frac{7}{3}

Apply exponent rules

x ln (2) = ln (\frac{7}{3})

Solve

x ln (2) = ln (\frac{7}{3}) : x = \frac{ln ( \frac{7}{3} )}{ln ( 2 )}

x = \frac{ln ( \frac{7}{3} )}{ln ( 2 )}

5 + e^{x} = - \frac{x}{2} + 2

5^{3 x} = 2 5^{x + 1}

1 6^{2 x} = \frac{1}{8}

125 - 5^{2 x} = 0

79 = 2 5^{x}