What is the answer to 32^{x-3}=16^{x-5} ?

The answer to 32^{x-3}=16^{x-5} is x=-5

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32^{x-3}=16^{x-5}

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

x = - 5

Solution steps

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

Apply exponent rules

5 (x - 3) = 4 (x - 5)

Solve

5 (x - 3) = 4 (x - 5) : x = - 5

x = - 5

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

4^{- 2 t} = 64

y, e^{x} - e^{y + 1} = 1

4^{3 x - 5} = 5

2^{x - 5} = 16

What is the answer to 32^{x-3}=16^{x-5} ?
The answer to 32^{x-3}=16^{x-5} is x=-5
Solve for x: 32^{x-3}=16^{x-5}
The solution is x=-5