What is the answer to 8^{x-2}=6^{3x} ?

The answer to 8^{x-2}=6^{3x} is x=-(2ln(2))/(ln(3))

Solve for x: 8^{x-2}=6^{3x}

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

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8^{x - 2} = 6^{3 x}

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

Decimal Notation

x = - 1.26185 \dots

Solution steps

8^{x - 2} = 6^{3 x}

Apply exponent rules

(x - 2) ln (8) = 3 x ln (6)

Solve

(x - 2) ln (8) = 3 x ln (6) : x = - \frac{2 ln ( 2 )}{ln ( 3 )}

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

5 (3^{x}) - 40 (3^{- x}) = 17

x, e^{\frac{2 x}{5}} = 25

e^{x} - 2 x = 0

4^{2 x} = 128

4 9^{1 - x} = 7^{x}

What is the answer to 8^{x-2}=6^{3x} ?
The answer to 8^{x-2}=6^{3x} is x=-(2ln(2))/(ln(3))
Solve for x: 8^{x-2}=6^{3x}
The solution is x=-(2ln(2))/(ln(3))