What is the answer to 8^x=3^{x+2} ?

The answer to 8^x=3^{x+2} is x=(2ln(3))/(3ln(2)-ln(3))

Solve for x: 8^x=3^{x+2}

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

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

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

Decimal Notation

x = 2.24017 \dots

Solution steps

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

Apply exponent rules

x ln (8) = (x + 2) ln (3)

Solve

x ln (8) = (x + 2) ln (3) : x = \frac{2 ln ( 3 )}{3 ln ( 2 ) - ln ( 3 )}

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

2^{3 x} = 512

2^{2 x} = 4^{x - 1}

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

2^{n} + 2^{n} = 2^{n + 1}

5 \cdot 2^{x} + 2^{x + 2} = 18

What is the answer to 8^x=3^{x+2} ?
The answer to 8^x=3^{x+2} is x=(2ln(3))/(3ln(2)-ln(3))
Solve for x: 8^x=3^{x+2}
The solution is x=(2ln(3))/(3ln(2)-ln(3))