Calculus1
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OpenStudy (anonymous):
y=logx
If y=10, then what is x?
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Parth (parthkohli):
log base = ?
OpenStudy (anonymous):
it just say x
hartnn (hartnn):
10=log x
can u convert this in exponential form?
Parth (parthkohli):
Okay, so what do you get in the equation when you plug \(\rm y = 10\)?
OpenStudy (anonymous):
yes @hartnn
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OpenStudy (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?
OpenStudy (anonymous):
so then it will be one?
Parth (parthkohli):
People, why don't you just help her?
Parth (parthkohli):
@latremese40 Yes!
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hartnn (hartnn):
no
OpenStudy (anonymous):
no, x does not equal 1
OpenStudy (anonymous):
thank you @Parthkohli
Parth (parthkohli):
Whenever you have such a form, then I prefer the exponential form.
OpenStudy (anonymous):
@ParthKohli if x and y were reversed, this would be true
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hartnn (hartnn):
its not 1
Parth (parthkohli):
@latremese40 You're welcome :)
OpenStudy (anonymous):
x = 10^10
OpenStudy (anonymous):
how @hartnn
Parth (parthkohli):
@latremese40 Let me show you.
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OpenStudy (anonymous):
if you do log(1) you dont get 10
Parth (parthkohli):
\[\rm 10 = \log (x)\]Right? But here, the base is 10.
OpenStudy (anonymous):
oka Parthkohli
OpenStudy (anonymous):
so raise both sides to the 10th power to get rid of the log with base 10
Parth (parthkohli):
\[\rm 10 = \log_{10}(x)\]Do you know what the exponential form is?
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hartnn (hartnn):
the exponential form \(\huge if, a=log x\implies x=10^a \)
hartnn (hartnn):
so what will be 10=log x ?
OpenStudy (anonymous):
but its y=logx
then you get 10^x
x=1 right?
Parth (parthkohli):
@latremese40 Let's do something clever.
hartnn (hartnn):
when y=10, u get
10=log x
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Parth (parthkohli):
Let's first solve for \(\rm x\).
OpenStudy (anonymous):
@ParthKohli if you plug in 1 for x you dont get 10
hartnn (hartnn):
and u get x=10^y
OpenStudy (anonymous):
how bout @parthkohli inbx me cuz im getin confused
Parth (parthkohli):
\[\rm y = \log_{10}x \]So,\[\rm 10^y = x\]Right?
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Parth (parthkohli):
Now if you have y = 10, then you have\[\rm 10^{10} =x \]Got my point?
OpenStudy (anonymous):
yes i do
Parth (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.
OpenStudy (anonymous):
oka... its cool hartnn
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OpenStudy (anonymous):
im still confused...how is x=1 like you said earlier?
Parth (parthkohli):
@etemplin: That answer was out of confusion, so don't mind it. :)
OpenStudy (anonymous):
wow that makes sense now. so x = 10^10 right? just making sure
OpenStudy (anonymous):
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