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Big Ideas Math Integrated I, 2016 View details

Chapter Review

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Exercise 16 Page 323

Rewrite the terms so that they have a common base.

x=2

Practice makes perfect

To solve the given exponential equation, we will start by rewriting the terms so that they have a common base.

3^(x-2)=1

1=a^0

3^(x-2)=3^0

Now, we have two equivalent expressions with the same base. If both sides of the equation are equal, the exponents must also be equal. 3^(x-2)=3^0 ⇔ x-2=0 Finally, we will solve the equation x-2=0.

x-2=0

AddEqn

LHS+2=RHS+2

x=2