This document provides worked examples for solving various logarithmic and exponential equations. It begins with an introduction stating the learner will be able to solve exponential equations of different bases, logarithmic equations, and exponential equations of the same base. It then shows 7 worked examples of solving equations involving logarithms and exponents, with the conclusion being about expressing exponential powers in the same base when possible.

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2. Equations
• Solve exponential equations of different bases.
• Solve logarithmic equations.
• Solve exponential equations of the same base
By the end of the lesson you will be able to:

3. Worked example 1:

4. Worked example 2:

5. w. e.3:

6. Conclusion:
In exponential equations, when it is possible,
express the powers in the same base.

7. w. e.4:

8. w. e.5:

9. w.e.6:

10. w.e.7:

11. continuing
log (x­2)2
­ log (x2
­4 ) = 2

14.
inverse functions

15. Find the value of x:
ln x = 0
ln x + 1 = 0
ln x = 1

16. ln ( x ­ 5 ) = 2
ln x ­ 5 = ­ 7

19. Solve from book page 65 Ex 2 G