Logarithmic word problem help?

Mathematics
Tutor: None Selected Time limit: 1 Day

A Math 3 student solved the equation 2x + 4 = 5 using the following steps. Is the student's work correct? If not, explain the mistake.

2x + 4 = 5

log25 = x + 4

log 2/log 5 = x + 4

log 2/log 5 - 4 = x

x ≈ -3.569

Apr 16th, 2015

No. The third step should be

log 5/log 2 = x +4  because of the change of base formula

log 5/log 2 - 4 = x

x ≈ -1.678

Apr 16th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Apr 16th, 2015
...
Apr 16th, 2015
Mar 27th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer