Algebra 2 Honors, natural logs, ln3x - ln15 = 2?
i need help solving this problem about natural logs (ln) i need to solve for x
ln3x - ln15 = 2
i know the answer because my teacher gave my class is but i have no idea how to get it please answer i have a test tomorrow i need to know this for!
Comments
ln3x - ln15 = 2
ln(3x/15) = 2
ln(x/5) = 2
What number has a natural log of 2? You can look this up in a table, get it from a calculator, or
remember the definition of a logarithm.
The logarithm of a number to a base is the power to which the base must be raised to generate the number, so e^2 is the number you want.
ln(x/5) = 2 = ln 7.389
x/5 = 7.389
x = 36.945
3x/15 = e^2
x = 5e^2