What is the answer to 4^{2x-7}=1024^{x+1} ?

The answer to 4^{2x-7}=1024^{x+1} is x=-4

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4^{2x-7}=1024^{x+1}

4^{2 x - 7} = 102 4^{x + 1}

x = - 4

Solution steps

4^{2 x - 7} = 102 4^{x + 1}

Apply exponent rules

2 x - 7 = 5 (x + 1)

Solve

2 x - 7 = 5 (x + 1) : x = - 4

x = - 4

e^{0.5 x} = 5 - 5 x

e^{- 2 x} = 5

16 e^{4 x} = 0

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

x e^{x} = 2

What is the answer to 4^{2x-7}=1024^{x+1} ?
The answer to 4^{2x-7}=1024^{x+1} is x=-4
Solve for x: 4^{2x-7}=1024^{x+1}
The solution is x=-4