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Popular >

2^x+2^{x+3}=72

Solution

2^{x} + 2^{x + 3} = 72

Solution

x = 3

Solution steps

2^{x} + 2^{x + 3} = 72

Factor

2^{x} + 2^{x + 3} : 9 \cdot 2^{x}

9 \cdot 2^{x} = 72

Divide both sides by

9

2^{x} = 8

Apply exponent rules

x = 3

Popular Examples

e^{2 x} = 3^{x - 4}

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

3(2^{x-3})=6^{x-1}

3 (2^{x - 3}) = 6^{x - 1}

9^{x - 10} = 1

5^{2x+1}-24(5^x)-5=0

5^{2 x + 1} - 24 (5^{x}) - 5 = 0

Frequently Asked Questions (FAQ)

What is the answer to 2^x+2^{x+3}=72 ?
The answer to 2^x+2^{x+3}=72 is x=3
Solve for x: 2^x+2^{x+3}=72
The solution is x=3