Question

What is the true solution to l n 20 l n 5 = 2 l n x

Answer 1

Since the solution cannot be negative hence the true solution to the expression is x = 10

Laws of logarithm

Given the logarithmic expression

ln 20 + ln 5 = 2lnx

In logarithmic law, the sum of log is equivalent to its product .The equation above can be written as:

ln(20*5) = 2lnx
ln100 =2lnx
ln100 = lnx^2

x^2 =100

x = 10

Since the solution cannot be negative hence the true solution to the expression is x = 10

Learn more on log functions here: brainly.com/question/13473114