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## Answers

**Let's solve your equation step-by-step.**

364500=500000(1−10/100)n

364500=500000(9/10)n

**Step 1: Flip the equation.**

500000(9/10)n = 364500

**Step 2: Divide both sides by 500000.**

=

(9/10)n=729/1000

**Step 3: Solve Exponent.**

(9/10)n=729/1000

log((9/10)n)=log(729/1000)(Take log of both sides)

n*(log(9/10))=log(729/1000)

n=log(729/1000)log(9/10)

n=3

**Simplify**

n=3