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Popular >

16+2^x=2^{x+1}

Solution

16 + 2^{x} = 2^{x + 1}

Solution

x = 4

Solution steps

16 + 2^{x} = 2^{x + 1}

Subtract

2^{x + 1}

from both sides

16 + 2^{x} - 2^{x + 1} = 2^{x + 1} - 2^{x + 1}

Simplify

16 + 2^{x} - 2^{x + 1} = 0

Factor

16 + 2^{x} - 2^{x + 1} : 16 - 2^{x}

16 - 2^{x} = 0

Add

2^{x}

to both sides

16 - 2^{x} + 2^{x} = 0 + 2^{x}

Simplify

16 = 2^{x}

Apply exponent rules

4 = x

Switch sides

x = 4

Popular Examples

e^{6 v + 5} - 1 = 67

2 7^{y} = 81

x e^{x} = 5

9^{3x+1}=27^{2x+1}

9^{3 x + 1} = 2 7^{2 x + 1}

3 - x = 2^{x}

Frequently Asked Questions (FAQ)

What is the answer to 16+2^x=2^{x+1} ?
The answer to 16+2^x=2^{x+1} is x=4
Solve for x: 16+2^x=2^{x+1}
The solution is x=4