Question

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

Answer 1

Answer:

x =  $ye^{2a}$

Step-by-step explanation:

Data provided:

ln(x) − ln(y) = 2a

Now,

The using the following properties of log function,

we have

log(A) - log(B) = $\ln(\frac{A}{B})$

and,

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

ln(e) = 1

therefore,

the above equation transforms as:

$\ln(\frac{x}{y})$ = 2a

taking anti-ln both sides,

we get

$\frac{x}{y}$ = $e^{2a}$

or

x =  $ye^{2a}$