Question

log 75 base 5 + log 3 base 5 is equal to what?

Answer 1

is the question like this?
\[\log_{5}75 + \log_{5}3 \]

Answer 2

yes

Answer 3

you can write follows

\[\log_{5}75+\log_{5}3= \log_{5}225 \]
remember that logarithm law of addition where \[\log_{a}B + \log_{a}C = \log_{a} (B*C)\]

Answer 4

and what would happen if it was log 75 base 5 - log 3 base 5?

Answer 5

then
\[\log_{a}B -\log_{a}C = \log_{a}(B/C) \]

Answer 6

i get it now. thanks