Question

logarithms?
32^x=4

Answer 1

Hello!

Ok What form is this in?

Answer 2

1sec

Answer 3

it was written \[\log_{32} 4=x\]

Answer 4

Correct so what will we do ?

Answer 5

How would we input this into a Calculator ?

Answer 6

I'm not sure?

Answer 7

Wait actually its
\[\log_{32} 4=x\]

Answer 8

that's what I said?

Answer 9

\(\log_a(b)=\dfrac{\ln(b)}{\ln(a)}=\dfrac{log_c(b)}{\log_c(a)} (\text{ for any c you choose}\))

Answer 10

Wait there is an eaiser way to solve this :D

Do you know how when we are solving exponential functions we have to get the bases alike for us to cancel and solve? How about this

32^x = 2^2

How about we solve it from here > @study_buddy99

Answer 11

What number to the power of x is equal to 32?

Answer 12

2 not x :D

Answer 13

5

Answer 14

So we have

2^5x = 2^2

So whats our answer ?

Answer 15

2/5

Answer 16

Correct :D

Sometimes you just gotta play with the logs :D

Answer 17

:p I don't want to play with anything... I want sleep .-. Thank you! it makes a little bit more sense now :)

Answer 18

A little D: How will i make it ALOT :d

Answer 19

All seems right. =)

Answer 20

I just needed to stare at it for a moment. I understand.

Answer 21

You sure you don't to be explained more :D We are here to help! :D

Answer 22

I need a reminder why it wouldn't be 5/2

Answer 23

Because we have

2^5x = 2^2

So the bases are the same.. So we cancel them out and are left with

5x = 2
Divide 5 on both sides and get


x = 2/5

Answer 24

Let me put it in a way for you to understand
5x = 2

5 is a female
x is a male

5 and X are fighting because X wants to be alone but 5 see's a hunk which is 2 so 5 leaves X for 2 and we have x alone with 2/5

Answer 25

I understood the other way but that is far more creative.

Answer 26

Lol i tried :D

But now you get it ?

Answer 27

yes I do! thank you .

Answer 28

You're certainly Welcome ;D

-Jagr