n=?
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1.25=2.7ⁿ
To solve for n, you have to take the natural log of both sides
ln(1.25) = ln(2.7ⁿ)
because of the natural log power rule, we can put n in front of the ln
ln(1.25) = n*ln(2.7)
then we divide both sides by ln(2.7)
ln(1.25) / ln(2.7) = n
At this point, we use a calculator to get n. So plug n in.
n ≈ 0.224659605
EDIT:
@ Sajani
You can't subtract the logs like that
ln(1.25) / ln(2.7) does not mean ln(1.25-2.7)
I think you meant
ln(a/b) is ln(a) - ln(b) only
but they're not the same and you don't need it here
To solve for n, you have to take the natural log of both sides
ln(1.25) = ln(2.7ⁿ)
because of the natural log power rule, we can put n in front of the ln
ln(1.25) = n*ln(2.7)
then we divide both sides by ln(2.7)
ln(1.25) / ln(2.7) = n
At this point, we use a calculator to get n. So plug n in.
n ≈ 0.224659605
EDIT:
@ Sajani
You can't subtract the logs like that
ln(1.25) / ln(2.7) does not mean ln(1.25-2.7)
I think you meant
ln(a/b) is ln(a) - ln(b) only
but they're not the same and you don't need it here
-
n=(lg1.25)/(lg2.7)=lg(-1.45)=indetermind… No solution.