How do you write #Ln 40 = 3.68# in exponential form?

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Answer 1 · 2018-06-17T18:14:03

#e^3.68~~40#

#ln40 = 3.68#

#e^(ln40) = e^3.68#

#40 = e^3.68#

But theses are both false, both solutions are irrational:

#ln40 ~~ 3.68#

and

#e^3.68~~39.64#

Answer 2 · 2018-06-17T18:21:44

#e^(3.68)#

#"using the "color(blue)"law of logarithms"#

#•color(white)(x)log_b x=nhArrx=b^n#

#["note that "ln-=log_e]#

#40-=e^3.68#