Question

okay logarithms take two...Express as a single logarithm:
loga x - 5loga y

Answer 1

\[\log_{a}{x} - 5\log_{a}{y} \]

Answer 2

Property of logarithms:
\[a*\log{x} = \log{x^a}\]

That means you can switch something between being a power inside and a coefficient outside.

Answer 3

ok....i remember this...so basically loga x - loga y5..the logarithm basically becomes the exponent right?

Answer 4

the coefficient become the exponent, but yes.

Another property of logarithms:
\[\Large \log_a{x} - \log_a{y} = \log_a{\frac{x}{y}}\]

Answer 5

Basically, if it's subtraction, as long as the base is the same for both logarithms, you can change it into a fraction.

Answer 6

ok..easy enough..thanks:)