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geerky42
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\(\large b^x = b^y \Rightarrow x = y \) iff \(\large b > 0, b \neq 1\)
Why b>0? Why not b ≠ 0?
 2 years ago
 2 years ago
geerky42 Group Title
\(\large b^x = b^y \Rightarrow x = y \) iff \(\large b > 0, b \neq 1\) Why b>0? Why not b ≠ 0?
 2 years ago
 2 years ago

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freckles Group TitleBest ResponseYou've already chosen the best response.2
(1)^3=(1)^5 => 3=5. True or false?
 2 years ago

geerky42 Group TitleBest ResponseYou've already chosen the best response.0
Ok, how about b≠1, 0, 1? I just don't understand why b couldn't be smaller than zero...
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.2
1 is smaller than 0
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.2
The statement did not work for b<0
 2 years ago

geerky42 Group TitleBest ResponseYou've already chosen the best response.0
except 1... Why couldn't it be smaller than zero?
 2 years ago

geerky42 Group TitleBest ResponseYou've already chosen the best response.0
except 1...
 2 years ago

geerky42 Group TitleBest ResponseYou've already chosen the best response.0
Why not \(b \in \mathbb{R}, b \neq 1, 0, 1\)?
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.2
Is the the thingy suppose to go both ways?
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.2
Or do you mean it just in that one way?
 2 years ago

geerky42 Group TitleBest ResponseYou've already chosen the best response.0
Well, both way, I guess.
 2 years ago

geerky42 Group TitleBest ResponseYou've already chosen the best response.0
I found this statement in a iPhone app called Math Formulas, I think this is wrong, but I'm not sure...
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.2
Well it is probably leading up to logarithms... Of course 1^n=1^m but this does not imply n=m.
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.2
Oh you understand why b cannot be 1,0, or 1.
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.2
Have you talked about logarithms?
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.2
\[\log_b(x)=\frac{\ln(x)}{\ln(b)} , x>0, b>0, b \neq 1\]
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.2
\[b^x=b^y\] \[\log_b(b^x)=\log_b(b^y)\] \[x \log_b(b)=y \log_b(b)\] \[x(1)=y(1)\] \[x=y\]
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.2
That is assuming b>0 and b does not equal 1.
 2 years ago

geerky42 Group TitleBest ResponseYou've already chosen the best response.0
Well, this makes sense. Thanks.
 2 years ago
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