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Popular >

2^x-2^{x-3}=14

Solution

2^{x} - 2^{x - 3} = 14

Solution

x = 4

Solution steps

2^{x} - 2^{x - 3} = 14

Factor

2^{x} - 2^{x - 3} : 7 \cdot 2^{x - 3}

7 \cdot 2^{x - 3} = 14

Divide both sides by

7

2^{x - 3} = 2

Apply exponent rules

x - 3 = 1

Solve

x - 3 = 1 : x = 4

x = 4

Popular Examples

3^{2x-1}=3^{x+7}

3^{2 x - 1} = 3^{x + 7}

9^{x + 8} = 11

0.1=320e^{-3.1t}

0.1 = 320 e^{- 3.1 t}

solvefor x,w=-5*3^x+1 solve for

x, w = - 5 \cdot 3^{x} + 1

-3.73=-4xe^{(-x)/4}

- 3.73 = - 4 x e^{\frac{- x}{4}}

Frequently Asked Questions (FAQ)

What is the answer to 2^x-2^{x-3}=14 ?
The answer to 2^x-2^{x-3}=14 is x=4
Solve for x: 2^x-2^{x-3}=14
The solution is x=4