Question

Could somebody help me with this log problem?

Answer 1

what is it

Answer 2

4log4(3)-log4(4)

Answer 3

The answer can't contain a log

Answer 4

I am really rusty and logs because I havent done them in a year or so. But I think you have to convert it to a diferent form inorder to solve it

Answer 5

familiar with the log properties ?

Answer 6

Yep.

Answer 7

alright apply log property start with the power rule

Answer 8

log4(81/4)?

Answer 9

looks good

Answer 10

now set it equal to x
or use change of base formula

Answer 11

if we set it equal to x we should change log to exponential form

Answer 12

I can't remember how to do that.

Answer 13

for change of base formula \[\huge\rm log_b a = \frac{ \log a }{ \log b }\]

Answer 14

and if you want to do it by hands so set it equal to x