What is the answer to 2^{3x}=6^{x+2} ?

The answer to 2^{3x}=6^{x+2} is x=(2ln(6))/(ln(4/3))

Solve for x: 2^{3x}=6^{x+2}

The solution is x=(2ln(6))/(ln(4/3))

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2^{3 x} = 6^{x + 2}

x = \frac{2 ln ( 6 )}{ln ( \frac{4}{3} )}

Decimal Notation

x = 12.45652 \dots

Solution steps

2^{3 x} = 6^{x + 2}

Apply exponent rules

3 x ln (2) = (x + 2) ln (6)

Solve

3 x ln (2) = (x + 2) ln (6) : x = \frac{2 ln ( 6 )}{ln ( \frac{4}{3} )}

x = \frac{2 ln ( 6 )}{ln ( \frac{4}{3} )}

5^{2 x - 13} = 25

\frac{2 e ^{x}}{4} = 9

17.3 = e^{1.1 x}

e^{2 x + 3} = 1

2^{2 x - 5} = 0.5

What is the answer to 2^{3x}=6^{x+2} ?
The answer to 2^{3x}=6^{x+2} is x=(2ln(6))/(ln(4/3))
Solve for x: 2^{3x}=6^{x+2}
The solution is x=(2ln(6))/(ln(4/3))