Part 3 of 5 (b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places. log Using the change-of-base formula with base 10, log, 13 = log Part: 3 /5 Part 4 of 5 (round to 4 decimal places) 22 Part: 4 / 5 Part 5 of 5 (c) Check the result by using the related exponential form. a g001

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 19PT: Rewrite 163x5=1000 as a logarithm. Then applythe change of base formula to solve for x using...
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Please Help (3)
Part 3 of 5
(b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places.
log
Using the change-of-base formula with base 10, log, 13 =
log
Part: 3 /5
Part 4 of 5
(round to 4 decimal places)
Part: 4 / 5
Part 5 of 5
(c) Check the result by using the related exponential form.
3.7004
Check:
Transcribed Image Text:Part 3 of 5 (b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places. log Using the change-of-base formula with base 10, log, 13 = log Part: 3 /5 Part 4 of 5 (round to 4 decimal places) Part: 4 / 5 Part 5 of 5 (c) Check the result by using the related exponential form. 3.7004 Check:
For log, 13,
(a) Estimate the value of the logarithm between two consecutive integers.
(b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places.
(c) Check the result by using the related exponential form.
Part: 0/ 5
Part 1 of 5
(a) Estimate the value of the logarithm between two consecutive integers.
< 13 < 2
Part: 1/5
Part 2 of 5
Therefore,
log, 2° < log,
13< log, 2*
Thus, log2
13 is between
and
Transcribed Image Text:For log, 13, (a) Estimate the value of the logarithm between two consecutive integers. (b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places. (c) Check the result by using the related exponential form. Part: 0/ 5 Part 1 of 5 (a) Estimate the value of the logarithm between two consecutive integers. < 13 < 2 Part: 1/5 Part 2 of 5 Therefore, log, 2° < log, 13< log, 2* Thus, log2 13 is between and
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