187k views
4 votes
Express the given logarithmic expression as a single logarithm.

5ln(x) + 2ln(y)

select one:

a. in(x^5y^2)
b. in(x^5/y^2)        (incorrect)
c. in(xy)^10
d. 7in(xy)

User Sdonk
by
6.4k points

1 Answer

5 votes
Using the laws of logarithms, we get:
5\ ln(x)+2\ ln(y)=ln(x)^(5)+ln(y)^(2)=ln( x^(5)y^(2))
The answer is a.
User Alexander Beletsky
by
7.3k points
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