What is the answer to 2*3^x-5*3^{x-1}=3 ?

The answer to 2*3^x-5*3^{x-1}=3 is x=2

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23^x-53^{x-1}=3

2 \cdot 3^{x} - 5 \cdot 3^{x - 1} = 3

x = 2

Solution steps

2 \cdot 3^{x} - 5 \cdot 3^{x - 1} = 3

Factor

2 \cdot 3^{x} - 5 \cdot 3^{x - 1} : 3^{x - 1}

3^{x - 1} = 3

Apply exponent rules

x - 1 = 1

Solve

x - 1 = 1 : x = 2

x = 2

e^{6 x} = 14

e^{6 x} = 15

e^{3 x} = 403.43

2^{x} = 4194304

60 = 22 + 58 e^{- 15 k}

What is the answer to 2*3^x-5*3^{x-1}=3 ?
The answer to 2*3^x-5*3^{x-1}=3 is x=2
Solve for x: 2*3^x-5*3^{x-1}=3
The solution is x=2