Solve the equation 3^(x+1)+3^(x+2)=108

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

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We'll re-write the equation:

3*3^x + 9*3^x=108

We'll factorize by 3^x:

3^x*(3 + 9) = 108

12*3^x = 108

We'll divide by 12:

3^x = 9

We'll create matching bases writting 9 as a power of 3:

3^x = 3^2

Since the bases are matching now, we can apply one to one rule:

x = 2

The solution of the given equation is x = 2.

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