Question

I need steps for this one too! PLEASE HELP!

24*log(3x)=60

Answer 1

Ok, this is the same deal. So lets approach it the same way. This time I'll instruct and you perform

Answer 2

To start we need to isolate the log(3x) factor. To do that we have to get rid of the other factor 24. So we divide both sides by 24

Answer 3

What do we have now?

Answer 4

Polpak - using the principals before I divide both sides by 24 and I end up with
log 10 (3x) = 2.5

Answer 5

Correct!

Answer 6

Now we re-write the log in exponential form

Answer 7

then I have to put in in the format as before with the logb (a)=k
I get
log10 (3x)=2.5

Answer 8

jenn.. did you delete my response?

Answer 9

I had posted the complete solution..

Answer 10

helpingtutors - did not get your response. sorry, working it through with polpak thanks

Answer 11

Right, so lets write the other half of that relation: b^k = a

Answer 12

10^2.5=3x

Answer 13

the b (base) in this case is 10. our 'a' is 3x, and our k is 2.5

Answer 14

answer was 105.4092

Answer 15

That's correct jenn

Answer 16

Now to isolate the x, we divide by the coefficient in front (the 3)

Answer 17

so when I calculate it I get
316.227766/3=105.409

Answer 18

do I have it right?

Answer 19

Nicely done

Answer 20

Thanks! I am now understanding this very tedious process!

Answer 21

It will get faster =)

Answer 22

I appreciate the time to explain it to me! That's how I learn, step-by-step!
Thanks again! I awarded you another medal!

Answer 23

Anytime. You're a good student to work with.