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Popular >

3^{x-1}+2*3^x=63

Solution

3^{x - 1} + 2 \cdot 3^{x} = 63

Solution

x = 3

Solution steps

3^{x - 1} + 2 \cdot 3^{x} = 63

Factor

3^{x - 1} + 2 \cdot 3^{x} : 7 \cdot 3^{x - 1}

7 \cdot 3^{x - 1} = 63

Divide both sides by

7

3^{x - 1} = 9

Apply exponent rules

x - 1 = 2

Solve

x - 1 = 2 : x = 3

x = 3

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Frequently Asked Questions (FAQ)

What is the answer to 3^{x-1}+2*3^x=63 ?
The answer to 3^{x-1}+2*3^x=63 is x=3
Solve for x: 3^{x-1}+2*3^x=63
The solution is x=3