Solving Exponential and Logarithmic Equations

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Objective

I can solve exponential and logarithmic equations using properties of logarithms.

Part 1 of 3

Key concepts

3 concepts

  1. 1

    Exponential and logarithmic equations are inverse forms of each other, which is helpful to remember when solving problems.

  2. 2

    To solve exponential equations, you can rewrite both sides with the same base or apply a logarithm to both sides.

  3. 3

    When solving logarithmic equations, first condense the expression, then exponentiate both sides to eliminate the logarithm.

Part 2 of 3

Practice

10 questions

1

What is the primary difference between an exponential equation and a logarithmic equation?

2

Solve for x: 5^(x+1) = 125

Part 3 of 3

Exit ticket

Quick comprehension check

Solve for x: 5^(x+1) = 25^(x-3). Show all steps.

Sample answer included in the free materials

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Teacher guide, student handout, and slides — free, in Google Docs format

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