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Popular >

2^{x+2}-2^x=48

Solution

2^{x + 2} - 2^{x} = 48

Solution

x = 4

Solution steps

2^{x + 2} - 2^{x} = 48

Factor

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

3 \cdot 2^{x} = 48

Divide both sides by

3

2^{x} = 16

Apply exponent rules

x = 4

Popular Examples

(1/27)^{4-x}=9^{2x-1}

(\frac{1}{27})^{4 - x} = 9^{2 x - 1}

5me^{mx}=2e^{mx}

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

2^{n} = 0

(510)^n=3493.88

(510)^{n} = 3493.88

(3^x-3^{-x})/2 =5

\frac{3 ^{x} - 3 ^{- x}}{2} = 5

Frequently Asked Questions (FAQ)

What is the answer to 2^{x+2}-2^x=48 ?
The answer to 2^{x+2}-2^x=48 is x=4
Solve for x: 2^{x+2}-2^x=48
The solution is x=4