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Popular >

3^{x+3}+3^x=84

Solution

3^{x + 3} + 3^{x} = 84

Solution

x = 1

Solution steps

3^{x + 3} + 3^{x} = 84

Factor

3^{x + 3} + 3^{x} : 28 \cdot 3^{x}

28 \cdot 3^{x} = 84

Divide both sides by

28

3^{x} = 3

Apply exponent rules

x = 1

Popular Examples

e^{4x}+4e^{2x}-12=0

e^{4 x} + 4 e^{2 x} - 12 = 0

10^xx10^{-9}=10^{11}

1 0^{x} x 1 0^{- 9} = 1 0^{11}

2 (3)^{x} = 8

3*4e^{2-2x}+1=4

3 \cdot 4 e^{2 - 2 x} + 1 = 4

4^{x^2}=2^{8x-8}

4^{x^{2}} = 2^{8 x - 8}

Frequently Asked Questions (FAQ)

What is the answer to 3^{x+3}+3^x=84 ?
The answer to 3^{x+3}+3^x=84 is x=1
Solve for x: 3^{x+3}+3^x=84
The solution is x=1