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Pearson Algebra 2 Common Core, 2011 View details

End-of-Course Assessment

Finish the assignment

Exercise 39 Page 967

Use the Properties of Logarithms to eliminate the exponent from the equation.

Practice makes perfect

When bases are not the same, we can solve an exponential equation by taking the logarithm of each side of the equation. m=n ⇔ log m = log nNote that in order to take their logarithms, both m and n must be positive numbers. We will start by rewriting the given equation to get a simpler expression.

8.2(3^(2x-4))-11=557.1

AddEqn

LHS+11=RHS+11

8.2(3^(2x-4))= 568.1

DivEqn

.LHS /8.2.=.RHS /8.2.

3^(2x-4) = 568.1/8.2

Let's now solve this equation using the Properties of Logarithms.

3^(2x-4) = 568.1/8.2

log(LHS)=log(RHS)

log (3^(2x-4)) = log (568.1/8.2 )

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