What is the answer to 2\times 3^{x-2}=162 ?

The answer to 2\times 3^{x-2}=162 is x=6

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2\times 3^{x-2}=162

2 \cdot 3^{x - 2} = 162

x = 6

Solution steps

2 \cdot 3^{x - 2} = 162

Divide both sides by

2

3^{x - 2} = 81

Apply exponent rules

x - 2 = 4

Solve

x - 2 = 4 : x = 6

x = 6

e^{x^{2} + 3} = e^{4 x}

85 \cdot 3^{x} = 765

2 9^{x} = 3 3^{x}

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

What is the answer to 2\times 3^{x-2}=162 ?
The answer to 2\times 3^{x-2}=162 is x=6
Solve for x: 2\times 3^{x-2}=162
The solution is x=6