Suppose that x = In(A) and y = ln(B). Write the following expressions in terms of x and y (so you cannot have an A or B anywhere in your answers). help (formulas) (a) In (AB) = (b) In (A³. √B) (c) = x+y In(A) X In(B) y (d) In = A (4) B = 3x + AB= x+y y 2 In(A) - In (A) (f) ln(A − B) = ln (et – el) help (formulas) help (formulas) help (formulas) help (formulas) help (formulas)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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Question
X
Suppose that x = ln(A) and y = ln(B). Write the following expressions in terms of x and y (so you cannot have an A or B
anywhere in your answers).
x+y
(a) ln(AB) =
=
(b) ln(A³. √B) = 3x +
(c)
In(A)
In(B)
(d) In
A
B
y
=
A
(e) AB = ex+y
2
In (A) - In (A)
(f) ln(A − B) = ln (et
–
– e¹)
In(ex -
J
→
←I
help (formulas)
ID
help (formulas)
help (formulas)
help (formulas)
help (formulas)
help (formulas)
Transcribed Image Text:X Suppose that x = ln(A) and y = ln(B). Write the following expressions in terms of x and y (so you cannot have an A or B anywhere in your answers). x+y (a) ln(AB) = = (b) ln(A³. √B) = 3x + (c) In(A) In(B) (d) In A B y = A (e) AB = ex+y 2 In (A) - In (A) (f) ln(A − B) = ln (et – – e¹) In(ex - J → ←I help (formulas) ID help (formulas) help (formulas) help (formulas) help (formulas) help (formulas)
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