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Popular >

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

Solution

solve for

x, 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^{2 x - 1} = 3

5(10^{2x}-2)=15

5 (1 0^{2 x} - 2) = 15

5^{n + 10} = 25

e^{- 9 x} = 0

3^{2 + x} = 172

Frequently Asked Questions (FAQ)

What is the answer to solvefor x,3^{x+1}=3^x+18 ?
The answer to solvefor x,3^{x+1}=3^x+18 is x=2