May someone help me with this problem?

Exponential and Logarithmic Functions

Simplify 3 (log 4 9 + log 4t).

Question

May someone help me with this problem?

Exponential and Logarithmic Functions

Simplify 3 (log 4 9 + log 4t).

dumbsearch2 · Answer

attachment

dumbcow · Answer

ok here are some log rules, see if you can apply them
$$\log a + \log b = \log(ab)$$
$$n \log x = \log (x^n)$$

cp9454 · Answer

A

dumbsearch2 · Answer

How did you come to that answer @cp9454

dumbcow · Answer

probably using the properties i posted ... :)

dumbsearch2 · Answer

Is it correct?

dumbcow · Answer

yes

dumbsearch2 · Answer

Thank you :)

dumbcow · Answer

do you understand why its correct?

dumbsearch2 · Answer

To be honest, not quite:
I was just going to ask you:

How can I apply those rules?

dumbsearch2 · Answer

How do I go about solving an algorithm?

dumbcow · Answer

ok so the first rule can be applied anytime you are adding 2 logs
since its says ... log(9) + log(t)
we can combine them into a single log and multiply the insides
--> log(9t)

dumbcow · Answer

whenever there is a number outside a log you can turn it into an exponent inside the log

3log(9t)  = log(9t)^3