What is the answer to 3125^{x-4}=625^{x+3} ?

The answer to 3125^{x-4}=625^{x+3} is x=32

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3125^{x-4}=625^{x+3}

312 5^{x - 4} = 62 5^{x + 3}

x = 32

Solution steps

312 5^{x - 4} = 62 5^{x + 3}

Apply exponent rules

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

Solve

5 (x - 4) = 4 (x + 3) : x = 32

x = 32

4 \cdot 8^{x - 1} = 3 \cdot 5^{2 x + 1}

2^{x - 3} = 6

2^{x - 3} = 7

70 = 120 e^{2 k} + 25

2 e^{- x} x - e^{- x} (x^{2} - 3) = 0

What is the answer to 3125^{x-4}=625^{x+3} ?
The answer to 3125^{x-4}=625^{x+3} is x=32
Solve for x: 3125^{x-4}=625^{x+3}
The solution is x=32