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Popular >

2^x+2^{x-3}=18

Solution

2^{x} + 2^{x - 3} = 18

Solution

x = 4

Solution steps

2^{x} + 2^{x - 3} = 18

Factor

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

9 \cdot 2^{x - 3} = 18

Divide both sides by

9

2^{x - 3} = 2

Apply exponent rules

x - 3 = 1

Solve

x - 3 = 1 : x = 4

x = 4

Graph

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4^{2 x} + 8^{2 x + 1} = \frac{1}{32}

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

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

0 = 2 e^{2 x} - e^{x}

Frequently Asked Questions (FAQ)

What is the answer to 2^x+2^{x-3}=18 ?
The answer to 2^x+2^{x-3}=18 is x=4
Solve for x: 2^x+2^{x-3}=18
The solution is x=4