anonymous
  • anonymous
y=logx If y=10, then what is x?
Calculus1
katieb
  • katieb
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ParthKohli
  • ParthKohli
log base = ?
anonymous
  • anonymous
it just say x
hartnn
  • hartnn
10=log x can u convert this in exponential form?

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ParthKohli
  • ParthKohli
Okay, so what do you get in the equation when you plug \(\rm y = 10\)?
anonymous
  • anonymous
yes @hartnn
anonymous
  • anonymous
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
  • hartnn
what u get?
anonymous
  • anonymous
so then it will be one?
ParthKohli
  • ParthKohli
People, why don't you just help her?
ParthKohli
  • ParthKohli
@latremese40 Yes!
hartnn
  • hartnn
no
anonymous
  • anonymous
no, x does not equal 1
anonymous
  • anonymous
thank you @Parthkohli
ParthKohli
  • ParthKohli
Whenever you have such a form, then I prefer the exponential form.
anonymous
  • anonymous
@ParthKohli if x and y were reversed, this would be true
hartnn
  • hartnn
its not 1
ParthKohli
  • ParthKohli
@latremese40 You're welcome :)
anonymous
  • anonymous
x = 10^10
anonymous
  • anonymous
how @hartnn
ParthKohli
  • ParthKohli
@latremese40 Let me show you.
anonymous
  • anonymous
if you do log(1) you dont get 10
ParthKohli
  • ParthKohli
\[\rm 10 = \log (x)\]Right? But here, the base is 10.
anonymous
  • anonymous
oka Parthkohli
anonymous
  • anonymous
so raise both sides to the 10th power to get rid of the log with base 10
ParthKohli
  • ParthKohli
\[\rm 10 = \log_{10}(x)\]Do you know what the exponential form is?
hartnn
  • hartnn
the exponential form \(\huge if, a=log x\implies x=10^a \)
hartnn
  • hartnn
so what will be 10=log x ?
anonymous
  • anonymous
but its y=logx then you get 10^x x=1 right?
ParthKohli
  • ParthKohli
@latremese40 Let's do something clever.
hartnn
  • hartnn
when y=10, u get 10=log x
ParthKohli
  • ParthKohli
Let's first solve for \(\rm x\).
anonymous
  • anonymous
@ParthKohli if you plug in 1 for x you dont get 10
hartnn
  • hartnn
and u get x=10^y
anonymous
  • anonymous
how bout @parthkohli inbx me cuz im getin confused
ParthKohli
  • ParthKohli
\[\rm y = \log_{10}x \]So,\[\rm 10^y = x\]Right?
ParthKohli
  • ParthKohli
Now if you have y = 10, then you have\[\rm 10^{10} =x \]Got my point?
anonymous
  • anonymous
yes i do
ParthKohli
  • ParthKohli
And that's your answer! If you prefer the numeric notation, then add ten zeroes in front of 1.
hartnn
  • hartnn
sorry for the confusion.
anonymous
  • anonymous
oka... its cool hartnn
anonymous
  • anonymous
im still confused...how is x=1 like you said earlier?
ParthKohli
  • ParthKohli
@etemplin: That answer was out of confusion, so don't mind it. :)
anonymous
  • anonymous
wow that makes sense now. so x = 10^10 right? just making sure
anonymous
  • anonymous
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