Write the expression as a single logarithm. 5logby+ 4logbx

both "b" are the base for the log.

answers: a) logb(y^5+x^4)
b) logb(y^5 x^4)
c) (5+4) logb(y+x)
d) logb(yx^5+4)

To write the expression 5logby+ 4logbx, you need to know the laws of logarithm. These laws will help you what will be the type of logarithm that will fit in the given expression. For multiplication, log a + log b = logab and for a logarithm that has a coefficient, 5logb = logb⁵. So the answer is 
 
5logby+ 4logbx
logb y⁵ + logb x⁴
logb y⁵x⁴
The answer is letter B.