Fun with logarithms.(a) Simplify the expression ea In b. (That is, write it in a way that doesn't involve logarithms.)(b) Assuming that b« a, prove that In(a +b) = (In a) + (b/a). (Hint: Factor out the a from the argument of the logarithm, so that you can apply the approximation of part (d) of the previous problem.)

Fun with logarithms.(a) Simplify the expression ea In b. (That is, write it in a way that doesn't involve logarithms.)(b) Assuming that b« a, prove that In(a +b) = (In a) + (b/a). (Hint: Factor out the a from the argument of the logarithm, so that you can apply the approximation of part (d) of the previous problem.)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.3: Properties Of Logarithms

Problem 105E

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