Logarithms 12 - Solve equations with log x and ln x
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Lesson Summary:
In this lesson, we learn how to solve equations containing common logs and natural logs, ln. We are given five problems to solve, with the directions to find an exact solution and an approximation to four decimal places. We learn that the log of x is the same as the log of x base 10, and the natural log of x is the log of x base E. By the end of the lesson, we gain practice with calculations using logs and natural logs.
Lesson Description:
Solve equations containing common logs and natural logs, ln. .
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Questions answered by this video:
- How do you solve equations with log x and ln x?
- How do you solve for x in log x = 2.3?
- How do you solve log 2x = 1.7?
- How do you solve ln x = 1.8?
- How do you solve ln 3x = -1.4?
- How do you solve log (2x - 3) = 1.5?
- How can you check your solution to a logarithmic equation?
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Staff Review
You can use the properties of logarithms and a calculator to solve a logarithmic equation. In this video, you will learn how to find the exact solution as well as an approximate solution rounded to 4 decimal places using a calculator. All steps and key sequences are shown for the example problems.
