In Try This 3 you looked at expanding and simplifying logarithmic expressions. You may have expanded the expression as follows:
You may have simplified the expression as follows:
Remember, expressions of the form log x are only defined for x > 0.
In Try This 3 you looked at expanding and simplifying logarithmic expressions. You may have expanded the expression as follows:
You may have simplified the expression as follows:
Remember, expressions of the form log x are only defined for x > 0.
Read “Example 1” on page 395 of the textbook. As you read through the example, determine whether the order in which you apply the different laws of logarithms would change the solution.
Read “Example 3” on page 397 of the textbook. Notice how inequalities are set up to determine the restrictions on x. If you need to review how to solve quadratic inequalities, see the Refresher section of this lesson.
Carefully follow the laws of logarithms used in this lesson.
For example,
log (x + y) ≠ log x + log y; instead, log x + log y = log (xy)
(log x)(log y) ≠ log(xy); instead, log(xy) = log x + log y