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Popular >

3^{x+1}=3^x+18

Solution

3^{x + 1} = 3^{x} + 18

Solution

x = 2

Solution steps

3^{x + 1} = 3^{x} + 18

Subtract

3^{x}

from both sides

3^{x + 1} - 3^{x} = 3^{x} + 18 - 3^{x}

Simplify

3^{x + 1} - 3^{x} = 18

Factor

3^{x + 1} - 3^{x} : 2 \cdot 3^{x}

2 \cdot 3^{x} = 18

Divide both sides by

2

3^{x} = 9

Apply exponent rules

x = 2

Popular Examples

3^{5x+2}=9^{x+4}

3^{5 x + 2} = 9^{x + 4}

\frac{1}{81} = 3^{x}

e^{k} = 4.5

3^{x} + 3^{1 - x} = 17

ln (e^{2 x - 1}) = 5

Frequently Asked Questions (FAQ)

What is the answer to 3^{x+1}=3^x+18 ?
The answer to 3^{x+1}=3^x+18 is x=2
Solve for x: 3^{x+1}=3^x+18
The solution is x=2