Answered: For the following, please solve the…

For the following, please solve the equation and express the solution in exact form: log4x = log5 + log(x+2) Please include steps, thank you.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter10: Exponential And Logarithmic Functions

Section10.CR: Review Problem Set

Problem 22CR

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Question

For the following, please solve the equation and express the solution in exact form:

log4x = log5 + log(x+2)

Please include steps, thank you.

Expert Solution

Step 1

Given:

Step 2

Solve:

log (4x) log (5)+log (x +2)
log a log blog a b]
log (4x) log (5)-(x +2)
log (4x) log (5x +10)
taking anti-log to the both sides:
e log (4x)
log(5x+10)
= e
4x 5x10
4x-5x 10
-x 10
x =-10

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