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Popular >

3^{x+1}+3^x=108

Solution

3^{x + 1} + 3^{x} = 108

Solution

x = 3

Solution steps

3^{x + 1} + 3^{x} = 108

Factor

3^{x + 1} + 3^{x} : 4 \cdot 3^{x}

4 \cdot 3^{x} = 108

Divide both sides by

4

3^{x} = 27

Apply exponent rules

x = 3

Popular Examples

e^{x - 2} = 12

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2^{x} = \frac{2 ^{6}}{4 ^{3}}

4(4^{2x})+3(4^x)-1=0

4 (4^{2 x}) + 3 (4^{x}) - 1 = 0

1 0^{x} = 76.2

x^{x} = 2^{24}

Frequently Asked Questions (FAQ)

What is the answer to 3^{x+1}+3^x=108 ?
The answer to 3^{x+1}+3^x=108 is x=3
Solve for x: 3^{x+1}+3^x=108
The solution is x=3