Answered: 1. Prove whether the following…

1. Prove whether the following statements are true or false. a) log, xy = (logɓ x) (logь y) b) If ƒ¯¹(x) = 4*, then f(x) = log 4x

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 44E

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Question

Please help on all asked questions. Please show all work and steps. Please circle the final answer. Please avoid using any calculus when solving please.

1.
Prove whether the following statements are true or false.
a) log, xy = (logɓ x) (logь y)
b) If ƒ¯¹(x) = 4*, then f(x) = log 4x

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