Solving Equations...2

[nycmathguy]

Section 3.4
12, 14, 16

Question 12

e^x = 1/3

ln (e^x) = ln (1/3)

x = ln (1/3)

Question 14

log x = -2

e^(log x) = e^(-2)

x = e^(-2)

x = 1/(e^2)

Question 16

log_5 (x) = 1/2

(base)^(outside) = inside

5^(1/2) = x

sqrt{5} = x

You say?

 

[MathLover1]

12.
ad one more line
x= ln(1/3)=-ln(3)

14 and 16 correct

 

[nycmathguy]

12.
ad one more line
x= ln(1/3)=-ln(3)

14 and 16 correct

Thank you very much.

How about the link below?

Determine Actual Solution of Logarithmic Equation