What is the answer to 3^x+5*3^x=54 ?

The answer to 3^x+5*3^x=54 is x=2

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3^x+5*3^x=54

3^{x} + 5 \cdot 3^{x} = 54

x = 2

Solution steps

3^{x} + 5 \cdot 3^{x} = 54

Add similar elements:

3^{x} + 5 \cdot 3^{x} = 6 \cdot 3^{x}

6 \cdot 3^{x} = 54

Divide both sides by

6

3^{x} = 9

Apply exponent rules

x = 2

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

x, 3^{x} = 5

2^{x} = 8192

4^{2 n + 3} = 8^{n + 5}

e^{5 - 4 x} = 9