Mathematics, 06.10.2020 15:01 krystalhurst97

Question 1 In this unit, you learned about common logarithms. Since most calculators can be used to find the values of common logarithms only, it’s desirable to be able to convert logarithms with bases other than 10 to common logarithms. This conversion can be done using the change of base formula.

Part A
Rewrite the logarithmic equation y = logbm in exponential form.
Part B
Using a log with base c , take the log of both sides of your answer from part A. Then use the power property and solve for y .
Part C
The original equation was y=logbm . Use substitution and your answer from part B to write the change of base formula.
Part D
Watch this video for two examples of how to use the change of base formula to simplify and evaluate logarithmic expressions. Then simplify (or evaluate, if possible) this expression: log3z x logz27
Part E
Use the change of base formula and a calculator to evaluate log7 300. Round your answer to the nearest hundredth, if necessary.

Answers: 2

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 17:30, tommyaberman

(least common multiples) the answer that i had in the 1st step was lcm of airline tickets sold=72. idk if that even matters but just in case. ! three co-workers are busy selling airline tickets over the phone. in an 8-hour day, charles can sell 8 airline tickets, ann can sell 9 airline tickets, and michelle can sell 6 airline tickets. step 2 of 2: what is the smallest number of 8-hour days needed for each of them to achieve the same number of sales? it takes charles . it takes . it takes .

Answers: 1

continue

Mathematics, 21.06.2019 17:40, nicole5918

Which of the following are accepted without proof in a logical system? check all that apply.

Answers: 1

continue

Mathematics, 21.06.2019 19:00, lashaeperson

How does a low unemployment rate affect a nation's economy? a. the nation has a higher number of productive resources. b. the nation can spend more money on for unemployed people. c. the nation can save money by paying lower salaries to a large workforce. reset

Answers: 1

continue

Mathematics, 21.06.2019 23:30, weirdojuwin

In an isosceles triangle, the vertex angle is 112 degrees. what is the measure of each base. a.34 b.24 c.44 d.54

Answers: 1

continue

You know the right answer?

Question 1 In this unit, you learned about common logarithms. Since most calculators can be used to...