For log, 30, (a) Estimate the value of the logarithm between two consecutive integers. For example, log2 7 is between 2 and 3 because 2² <7<2³. (b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decinal places. (c) Check the result by using the related exponential form.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.3: Logarithmic Functions
Problem 2SE: How is the logarithmic function f(x)=logb(x) related to the exponential function g(x)=bx ? Whatis...
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For log, 30,
(a) Estimate the value of the logarithm between two consecutive integers. For example, log₂ 7 is between 2 and 3 because
2² <7<2³.
(b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decinal places.
(c) Check the result by using the related exponential form.
decinfal
Transcribed Image Text:For log, 30, (a) Estimate the value of the logarithm between two consecutive integers. For example, log₂ 7 is between 2 and 3 because 2² <7<2³. (b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decinal places. (c) Check the result by using the related exponential form. decinfal
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