What is the answer to 16^{x-3}=3^{-5x} ?

The answer to 16^{x-3}=3^{-5x} is x=(12ln(2))/(ln(3888))

Solve for x: 16^{x-3}=3^{-5x}

The solution is x=(12ln(2))/(ln(3888))

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

x = \frac{12 ln ( 2 )}{ln ( 3888 )}

Decimal Notation

x = 1.00630 \dots

Solution steps

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

Apply exponent rules

(x - 3) ln (16) = - 5 x ln (3)

Solve

(x - 3) ln (16) = - 5 x ln (3) : x = \frac{12 ln ( 2 )}{ln ( 3888 )}

x = \frac{12 ln ( 2 )}{ln ( 3888 )}

10 e^{8 x - 3} + 2 = 8 e^{8 x}

4^{3 x} = 8^{x} + 3

3^{3 x - 10} = \frac{1}{27} 3

2 e^{1 - 2 y} = 3 e^{3 y + 2}

5 + 7 \cdot 9^{2 r + 7} = 20

What is the answer to 16^{x-3}=3^{-5x} ?
The answer to 16^{x-3}=3^{-5x} is x=(12ln(2))/(ln(3888))
Solve for x: 16^{x-3}=3^{-5x}
The solution is x=(12ln(2))/(ln(3888))