What is the answer to 2^{9x}=5^{-x-3} ?

The answer to 2^{9x}=5^{-x-3} is x=-(3ln(5))/(ln(2560))

Solve for x: 2^{9x}=5^{-x-3}

The solution is x=-(3ln(5))/(ln(2560))

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2^{9 x} = 5^{- x - 3}

x = - \frac{3 ln ( 5 )}{ln ( 2560 )}

Solution steps

2^{9 x} = 5^{- x - 3}

Apply exponent rules

9 x ln (2) = (- x - 3) ln (5)

Solve

9 x ln (2) = (- x - 3) ln (5) : x = - \frac{3 ln ( 5 )}{ln ( 2560 )}

x = - \frac{3 ln ( 5 )}{ln ( 2560 )}

e^{x + 1} = 9^{\frac{2 x}{3}}

e^{- x} - 2 x e^{x} = 0

5^{x} + 5^{x + 1} = 750

(\frac{1}{8})^{x} = 1 6^{x - 3}

(0.5)^{x} = 2

What is the answer to 2^{9x}=5^{-x-3} ?
The answer to 2^{9x}=5^{-x-3} is x=-(3ln(5))/(ln(2560))
Solve for x: 2^{9x}=5^{-x-3}
The solution is x=-(3ln(5))/(ln(2560))