What is the answer to 2^{-3x-6}=3^{1x-5} ?

The answer to 2^{-3x-6}=3^{1x-5} is x=(5ln(3)-6ln(2))/(ln(24))

Solve for x: 2^{-3x-6}=3^{1x-5}

The solution is x=(5ln(3)-6ln(2))/(ln(24))

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2^{- 3 x - 6} = 3^{1 x - 5}

x = \frac{5 ln ( 3 ) - 6 ln ( 2 )}{ln ( 24 )}

Decimal Notation

x = 0.41980 \dots

Solution steps

2^{- 3 x - 6} = 3^{1 \cdot x - 5}

Apply exponent rules

(- 3 x - 6) ln (2) = (1 \cdot x - 5) ln (3)

Solve

(- 3 x - 6) ln (2) = (1 \cdot x - 5) ln (3) : x = \frac{5 ln ( 3 ) - 6 ln ( 2 )}{ln ( 24 )}

x = \frac{5 ln ( 3 ) - 6 ln ( 2 )}{ln ( 24 )}

400 = 150 \cdot 1.0 5^{x}

(x + 1)^{x^{2} - 4} = (x + 1)^{2 - x}

(\frac{1000000}{2 ^{d}}) = 1950

578962 = 3 e^{0.03183 (x)}

2^{6 x + 12} = 3 2^{2 x + 4}

What is the answer to 2^{-3x-6}=3^{1x-5} ?
The answer to 2^{-3x-6}=3^{1x-5} is x=(5ln(3)-6ln(2))/(ln(24))
Solve for x: 2^{-3x-6}=3^{1x-5}
The solution is x=(5ln(3)-6ln(2))/(ln(24))