Equations Involving Exponential Expressions

Exponential expressions have two basic parts: exponent and base. The simplest equations involve one or the other.

1. If 2³⁰⁰ x 2ⁿ = 2⁵⁰¹ what is n?

2. If 2¹⁰⁰ x 3¹⁰⁰ = a¹⁰⁰ what is a?

3. If 100ⁿ x 5³ = 20ⁿ x 5⁶³ what is n?

4. If 2⁴⁹ x 2ⁿ = 1/4, what is n?

5. If (2ⁿ)¹⁰ = 32⁶ what is n?

Answers