1 Answer | Add Yours
Given that :
ln a = 2
ln b = 3
We need to find the values of ln a^2/b^3
We will use the logarithm properties to solve.
We know that ln a/b = ln a - ln b
Then we will simplify:
ln a^2/b^3 = ln a^2 - ln b^3
Now we also know that ln x^a = a*ln x
==> ln a^2 - ln b^3 = 2*ln a - 3*ln b
Now we will substitute with the value of ln a and ln b
==> ln (a^2/b^3) = 2*2 - 3*3 = 4- 9= -5
Then the value of ln (a^2/b^3) = -5.
We’ve answered 288,329 questions. We can answer yours, too.Ask a question