Question

PLEASE HELP!!
Describe the properties of logs used to solve the following equation. Please also provide the solution.
log2 (4) + log2 (x+6) = 2log2 (6)

Answer 1

do you know your log rules/properties?

Answer 2

not really, i'm confused with it.

Answer 3

ok, there actually three main ones:

Answer 4

use the product rule

Answer 5

there's the product rule, quotient rule, and power rule

Answer 6

i know that theres product property equality property

Answer 7

log_b (XY) = log_b X + log_b Y
log_b (X/Y) = log_b X - log_b Y
log_b (X^Y) = Y*log_b X

Answer 8

these are the 3...

Answer 9

there was this guy that did a tutorial on these stuffs here on openstudy..wait i'll look for it...maybe it can help you

Answer 10

thanks @lgbasallote , :)

Answer 11

this is your equation:

log2 (4) + log2 (x+6) = 2log2 (6)

notice we can use the first rule on that left side to get:

log2 [(4)(x+6)] = 2log2 (6)

Answer 12

this one right
log_b (XY) = log_b X + log_b Y

Answer 13

yes...

Answer 14

okay

Answer 15

now the right side...

Answer 16

aww darn -_- i cant access my old questions darn lag :/ sorry cant give the tutorial link haha

Answer 17

soright... we can manage... @lgbasallote , thanks though.... :)

now the right side:
log2 [(4)(x+6)] = log2 (6^2)

Answer 18

do you know what property i used on the right side?

Answer 19

the same one right.

Answer 20

no, I used the third rule i wrote down...

Answer 21

This has all the propertys of logs if you need them:
http://www.andrews.edu/~calkins/math/webtexts/numb17.htm#BAS

Answer 22

well just for future references... http://openstudy.com/study#/updates/4fa45f8fe4b029e9dc34e0b5

Answer 23

okay and that's the final answer?

Answer 24

no, you need to solve the equation...

Answer 25

okay so it looks like this right now.
log2 [(4)(x+6)] = 2log2 (6) and log2 [(4)(x+6)]= log2 (6^2)

Answer 26

you'll need to solve this equation in order to get your answer:
(4)(x+6)]= (6^2)
4x + 24 = 36

Answer 27

okay and i know that we got rid of the log2 because all of them are the same

Answer 28

correct...
can you tell me the answer then?

Answer 29

need help?