Algebra college question

Question

In 5x = 7.4

what is the solution set ?

Answer 1

ln5x = 7.4

e^ln5x = e^7.4

5x = e^7.4

x = (e^7.4)/5

5x = about (2.71828)^7.4

x = about (1/5)(2.71828)^7.4

use a scientific calculator to get x= 327.2

a guess might have been x = about 400 or about 3/^7/5 which is close

ln([5)(327.2)] = ln1636 = 7.4

the solution set has just one element = {e^7.4/5} or about {327.2}