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Popular >

2^x-2^{x-2}=24

Solution

2^{x} - 2^{x - 2} = 24

Solution

x = 5

Solution steps

2^{x} - 2^{x - 2} = 24

Factor

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

3 \cdot 2^{x - 2} = 24

Divide both sides by

3

2^{x - 2} = 8

Apply exponent rules

x - 2 = 3

Solve

x - 2 = 3 : x = 5

x = 5

Popular Examples

25^x-23(5^x)-50=0

2 5^{x} - 23 (5^{x}) - 50 = 0

3^{2x+3}=\sqrt[3]{27^{x+5}}

4^{x} - 5 \cdot 2^{x} = - 4

786000=247000e^{r(17)}

786000 = 247000 e^{r (17)}

e^{- 2 x} = e^{5}

Frequently Asked Questions (FAQ)

What is the answer to 2^x-2^{x-2}=24 ?
The answer to 2^x-2^{x-2}=24 is x=5
Solve for x: 2^x-2^{x-2}=24
The solution is x=5