Question

Which expressions are equivalent to the one below ? Check all that apply.
Log3 3+ log3 27

Answer 1

Answer:Log3(3^4) Log3 81. 4

Explanation:

Answer 2

Explanation:

We know logrithms addition is equivalent to log of multiplication.

i.e. log a + log b = log ab if bases are equal

Here given expressions are log 3 and log 27 with same base 3.

Hence log 3+log 27 = log 3(27) = log 81

81 can be written as 3 power 4

So given expresssion

=
`log_(3)  3^(4) =4`

(By log rules that

`log_(x)  x^(n) =n`