What is the answer to 2*3^x+3^x=81 ?

The answer to 2*3^x+3^x=81 is x=3

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2*3^x+3^x=81

2 \cdot 3^{x} + 3^{x} = 81

x = 3

Solution steps

2 \cdot 3^{x} + 3^{x} = 81

Add similar elements:

2 \cdot 3^{x} + 3^{x} = 3 \cdot 3^{x}

3 \cdot 3^{x} = 81

Divide both sides by

3

3^{x} = 27

Apply exponent rules

x = 3

(\frac{1}{3})^{5 x} = 243

3 \cdot 5^{x} = 7 \cdot 2 9^{x}

9^{x} = e^{x + 4}

(2^{x})^{2} - 5 (2^{x}) + 4 = 0

8^{- 4 x} = 1 3^{x + 4}