Question

Express x in terms of a, ????, and y if ln(x) − ln(y) = 2a.

Answer 1

x =
`ye^(2a)`

Explanation:

Data provided:

ln(x) − ln(y) = 2a

Now,

The using the following properties of log function,

we have

log(A) - log(B) =
`\ln((A)/(B))`

and,

ln(a) = b is equivalent to a =
`e^b` (here e is exponential )

ln(e) = 1

therefore,

the above equation transforms as:

`\ln((x)/(y))` = 2a

taking anti-ln both sides,

we get

`(x)/(y)` =
`e^(2a)`

or

x =
`ye^(2a)`