For Exercise, solve the equation. Write the solution set with exact values and give approximate solutions to 4 decimal places. ln x+ ln(x + 2) = ln(x + 6)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.CR: Chapter Review
Problem 102E
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For Exercise, solve the equation. Write the solution set with exact values and give approximate solutions to 4 decimal places.

ln x+ ln(x + 2) = ln(x + 6)

Expert Solution
Step 1

Use multiplication property on the left side. 

Inx+In(x+2)=In(x+6)
In[x(x+2)]=In(x+6)
Step 2

ln cancels from both sides. Then simplify .

x(х+2)-х+6
x?+2х—х+6
х?+2х-х-6-0
х?
+x-6=0
Step 3

Try to factor the right side.

х?
+x-6=0
х?+3x-2х-6-0
x(х+3)-2(х+3)-0
(х+3)(х-2)-0
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