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

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