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Popular >

2^{x-1}=2^x-8

Solution

2^{x - 1} = 2^{x} - 8

Solution

x = 4

Solution steps

2^{x - 1} = 2^{x} - 8

Subtract

2^{x}

from both sides

2^{x - 1} - 2^{x} = 2^{x} - 8 - 2^{x}

Simplify

2^{x - 1} - 2^{x} = - 8

Factor

2^{x - 1} - 2^{x} : - 2^{x - 1}

- 2^{x - 1} = - 8

Divide both sides by

- 1

2^{x - 1} = 8

Apply exponent rules

x - 1 = 3

Solve

x - 1 = 3 : x = 4

x = 4

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2(5+3^{x+1})=100

2 (5 + 3^{x + 1}) = 100

2^{x + 1} = 3 x

10 x - e^{- x} = 0

Frequently Asked Questions (FAQ)

What is the answer to 2^{x-1}=2^x-8 ?
The answer to 2^{x-1}=2^x-8 is x=4
Solve for x: 2^{x-1}=2^x-8
The solution is x=4