Question

For the following equation,

log(y) - log(y+1.47) + log13.07 = 2log(x)

Express y explicitly as a function of x. Hence, determine the value of y when x = 2.81, giving your answer to 3 decimal places.

Answer 1

hey ,,yong85" check please your before this exersice --- i have maked these calcules till the end
- hope so much that is right and understandably sure

good luck

bye

Answer 2

combine the logs, so it is in the form log(?) = log(?)

--> log(y/y+1.47) = log(x^2/13.07)
now set the inputs equal
y/y+1.47 = x^2/13.07
cross multiply
13.07y = x^2(y) +1.47x^2
13.07y -x^2(y) = 1.47x^2
y(13.07 -x^2) = 1.47x^2

--> y = 1.47x^2/(13.07- x^2)
when x=2.81, y = 2.243

Answer 3

all right thanks! i manage to get it now..