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

2^{x}^{ + 4} = 5

log_{2}5 = x + 4

log 2/log 5 = x + 4

log 2/log 5 - 4 = x

x ≈ -3.569

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

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