What is the answer to 2^{x+3}+2^{x+2}=96 ?

The answer to 2^{x+3}+2^{x+2}=96 is x=3

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2^{x+3}+2^{x+2}=96

2^{x + 3} + 2^{x + 2} = 96

x = 3

Solution steps

2^{x + 3} + 2^{x + 2} = 96

Factor

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

3 \cdot 2^{x + 2} = 96

Divide both sides by

3

2^{x + 2} = 32

Apply exponent rules

x + 2 = 5

Solve

x + 2 = 5 : x = 3

x = 3

5^{x} + 125 (5^{- x}) = 30

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

2^{x - 3} + 2^{x - 1} + 2^{x} = 52

3 6^{x} + 4 2^{x} = 4 9^{x}

5 \cdot 1 8^{6 x} = 26

What is the answer to 2^{x+3}+2^{x+2}=96 ?
The answer to 2^{x+3}+2^{x+2}=96 is x=3
Solve for x: 2^{x+3}+2^{x+2}=96
The solution is x=3