Question

Write 2 log3 x + log3 5 as a single logarithmic expression.

Answer 1

well it uses 2 log laws

1st is the law of powers

\[a \log(b) = \log(b^a)\]

apply this law to the 1st term

then

2, you need to law for multiplication

\[\log(ab) = \log(a) + \log(b)\]

hope it helps

Answer 2

yes it does thx

Answer 3

so, log3 x2 + log3 5 = log3(5x2)

Answer 4

that looks good.