Question

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.

Answer 1

\[\log_{6} x ^{2} = \log_{6} (5x + 36)\]

Answer 2

A. {3/2}
B. {9}
C. Ø
D. {9, -4}

Answer 3

@jim_thompson5910 can you help?

Answer 4

Madam, can I help you ?

Answer 5

yes you may ((: @goformit100

Answer 6

use the basic formula of log.

Answer 7

whats the formula?

Answer 8

and i really dont understand how to use the formulas

Answer 9

log6x2=log6(5x+36)
Therefore
x^2 = 5x + 36

Solve for x

Answer 10

are both sides suppose to be the same

Answer 11

If you have Logx Y = logx Z
then Y = Z
bring all terms to one side then solve it.

Answer 12

im confused i dont know how to bring it over

Answer 13

Subtract 5x both sides then do the same for 36.

If you have it in the form ax2 + bx + c = 0 then you can factorize.

Answer 14

you cant subtract 5x from the left side .. could you show me how to do it so i understand

Answer 15

x^2 = 5x + 36

x^2 - 5x = 5x + 36 - 5x

x^2 - 5x = 36

Answer 16

okay so now i have make the left side equal 36?

Answer 17

Nooo
Do the same with 36 that you did with 5x.

Answer 18

so than it'd be
x^2 - 5x = 36 - 36
x^2 - 5x - 36 = ?

Answer 19

You tell me :)

Answer 20

9!

Answer 21

?

Answer 22

What is 9?

Answer 23

the answer...

Answer 24

How did you get 9?

Answer 25

well 9 makes the equation 0 .. that not what i was going for?

Answer 26

Do you know how to factorize?
That is what you must do. You need to work out the answer, not guess.

Answer 27

i did i did 9^2 = 81 than 5*9=45
81 - 45 - 36 = 0

Answer 28

You need to show how you got the 9. What if it was not a multiple choice question?

Answer 29

your right sorry .. but did i do it correct?

Answer 30

You need to factorise
x^2 - 5x - 36 = 0

Answer 31

i though i just did....

Answer 32

5x^2 - 36 = 0 is that right?

Answer 33

Nope. If you did you would know that 9 is not the only answer.

Answer 34

did i just factorize it above?

Answer 35

No.

Answer 36

how do i factorize

Answer 37

Example: If you have
x^2 - 4x -12 = 0
If you factorize you get
(x - 6)(x + 2) = 0

Answer 38

so (x-9)(x+4) = 0

Answer 39

There you go.

Answer 40

okay so the answer would be D than

Answer 41

right

Answer 42

Yes.