latremese40
y=logx
If y=10, then what is x?



This Question is Open

ParthKohli
Best Response
You've already chosen the best response.
1
log base = ?

latremese40
Best Response
You've already chosen the best response.
0
it just say x

hartnn
Best Response
You've already chosen the best response.
1
10=log x
can u convert this in exponential form?

ParthKohli
Best Response
You've already chosen the best response.
1
Okay, so what do you get in the equation when you plug \(\rm y = 10\)?

latremese40
Best Response
You've already chosen the best response.
0
yes @hartnn

etemplin
Best Response
You've already chosen the best response.
0
10 = log x
x = 10^10
you raise both powers to whatever the base of the log is to get rid of the log

hartnn
Best Response
You've already chosen the best response.
1
what u get?

latremese40
Best Response
You've already chosen the best response.
0
so then it will be one?

ParthKohli
Best Response
You've already chosen the best response.
1
People, why don't you just help her?

ParthKohli
Best Response
You've already chosen the best response.
1
@latremese40 Yes!

hartnn
Best Response
You've already chosen the best response.
1
no

etemplin
Best Response
You've already chosen the best response.
0
no, x does not equal 1

latremese40
Best Response
You've already chosen the best response.
0
thank you @Parthkohli

ParthKohli
Best Response
You've already chosen the best response.
1
Whenever you have such a form, then I prefer the exponential form.

etemplin
Best Response
You've already chosen the best response.
0
@ParthKohli if x and y were reversed, this would be true

hartnn
Best Response
You've already chosen the best response.
1
its not 1

ParthKohli
Best Response
You've already chosen the best response.
1
@latremese40 You're welcome :)

etemplin
Best Response
You've already chosen the best response.
0
x = 10^10

latremese40
Best Response
You've already chosen the best response.
0
how @hartnn

ParthKohli
Best Response
You've already chosen the best response.
1
@latremese40 Let me show you.

etemplin
Best Response
You've already chosen the best response.
0
if you do log(1) you dont get 10

ParthKohli
Best Response
You've already chosen the best response.
1
\[\rm 10 = \log (x)\]Right? But here, the base is 10.

latremese40
Best Response
You've already chosen the best response.
0
oka Parthkohli

etemplin
Best Response
You've already chosen the best response.
0
so raise both sides to the 10th power to get rid of the log with base 10

ParthKohli
Best Response
You've already chosen the best response.
1
\[\rm 10 = \log_{10}(x)\]Do you know what the exponential form is?

hartnn
Best Response
You've already chosen the best response.
1
the exponential form \(\huge if, a=log x\implies x=10^a \)

hartnn
Best Response
You've already chosen the best response.
1
so what will be 10=log x ?

latremese40
Best Response
You've already chosen the best response.
0
but its y=logx
then you get 10^x
x=1 right?

ParthKohli
Best Response
You've already chosen the best response.
1
@latremese40 Let's do something clever.

hartnn
Best Response
You've already chosen the best response.
1
when y=10, u get
10=log x

ParthKohli
Best Response
You've already chosen the best response.
1
Let's first solve for \(\rm x\).

etemplin
Best Response
You've already chosen the best response.
0
@ParthKohli if you plug in 1 for x you dont get 10

hartnn
Best Response
You've already chosen the best response.
1
and u get x=10^y

latremese40
Best Response
You've already chosen the best response.
0
how bout @parthkohli inbx me cuz im getin confused

ParthKohli
Best Response
You've already chosen the best response.
1
\[\rm y = \log_{10}x \]So,\[\rm 10^y = x\]Right?

ParthKohli
Best Response
You've already chosen the best response.
1
Now if you have y = 10, then you have\[\rm 10^{10} =x \]Got my point?

latremese40
Best Response
You've already chosen the best response.
0
yes i do

ParthKohli
Best Response
You've already chosen the best response.
1
And that's your answer! If you prefer the numeric notation, then add ten zeroes in front of 1.

hartnn
Best Response
You've already chosen the best response.
1
sorry for the confusion.

latremese40
Best Response
You've already chosen the best response.
0
oka... its cool hartnn

etemplin
Best Response
You've already chosen the best response.
0
im still confused...how is x=1 like you said earlier?

ParthKohli
Best Response
You've already chosen the best response.
1
@etemplin: That answer was out of confusion, so don't mind it. :)

etemplin
Best Response
You've already chosen the best response.
0
wow that makes sense now. so x = 10^10 right? just making sure

ChmE
Best Response
You've already chosen the best response.
0
dw:1351402472779:dw