Question

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

Answer 1

Answer:

Step-by-step 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

$log_{x}  x^{n} =n$

Answer 2

Answer:Log3(3^4)  Log3 81.  4

Step-by-step explanation: