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Popular >

3^{x+2}+3^x=30

Solution

3^{x + 2} + 3^{x} = 30

Solution

x = 1

Solution steps

3^{x + 2} + 3^{x} = 30

Factor

3^{x + 2} + 3^{x} : 10 \cdot 3^{x}

10 \cdot 3^{x} = 30

Divide both sides by

10

3^{x} = 3

Apply exponent rules

x = 1

Popular Examples

8x^3e^{-2x}-2x^42e^{-2x}=0

8 x^{3} e^{- 2 x} - 2 x^{4} 2 e^{- 2 x} = 0

e^{2 x + 1} = 7

2 x = 2^{- x}

(4^{4x})/(4^{x+2)}=16

\frac{4 ^{4 x}}{4 ^{x + 2}} = 16

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

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

Frequently Asked Questions (FAQ)

What is the answer to 3^{x+2}+3^x=30 ?
The answer to 3^{x+2}+3^x=30 is x=1
Solve for x: 3^{x+2}+3^x=30
The solution is x=1