Question

Which expression shows log3(3x^4) in expanded form?

log3^3 + 4log3^x

4log3^3x

4log3^3 + 4log3x

3log3^3 + 4log3x

Answer 1

quotient rule\[\large\rm log_b x - \log_b y = \log_b \frac{ x }{ y}\]
to condense you can change subtraction to division
product rule \[\large\rm log_b x + \log_b y = \log_b( x \times y )\]
addition ----> multiplication

power rule \[\large\rm log_b x^y = y \log_b x\]

Answer 2

I don't really understand this

Answer 3

you just need to apply those properties

Answer 4

would it be the first one?

Answer 5

\[\huge\rm \log_3(3 · x^4) \]
3 times x^4 multiplication so which property would u apply ?

Answer 6

how did you get first first one ?

Answer 7

which property did u use ? :=)