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JusaquikieBest ResponseYou've already chosen the best response.1
the inverse is just if you put in an x and get a y the inverse is like putting in the y and getting the same x you put in the first part.
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
what you can do is switch your x's and y's then just solve for y.
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
\[y=3^{x}\] \[x=3^{y}\] \[\log _{10}x = \log _{10}3^{y}\] \[\log _{10} x = ylog _{10}3\] \[y=\frac{\log _{10}x}{\log _{10}3}\] y=x/3?
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
I have answers but I want to know what I did wrong, because it seems right to me.
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
i think you need to keep the logs or put e^y
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
you can only take away the logs like you did if y had one on that side
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
i think it can be rewrote as y=ln(x3) but i'm a little rusty with logarithms
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
but there is log10 on both sides, so I can cancel it out? and ok... I'm still confused sorry.
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
when you moved the y over to the other sice you had y=log(x)/log(3) y doesn't have a log
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
if it was log(y)=log(x)/log(3) you could cancel them out
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
really? hmmm, confusing but I know what you mean.
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
yeah i get confused too when you start using logs
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
if you have the answer try to work it backwards to get the first question and try to tie the two to gether with what your sure of.
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
the answer is \[\log _{3}x for x>0\] can you help me out? I don't understand how they got it.
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
log 2 x or log 3 x?
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
\[\log_{a}y=x \] is \[a^{x}=y\]
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
from log10(x)=ylog10(3) can you show me the rest of the steps?
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
so we can rewriteyour first one as as\[\log_{3} x=y\]
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
after you switch the x and y I believe?
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
sorry i'm trying to remember this as we go
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
no that is just rewriting it then we swith and solve for x
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
you wrote it wrong then.
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
all i did was change the exponent to a log
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
\[y=3^{x}\] \[\log _{3}y=x\]
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
I think you got confused with the x and y, you just got them in the wrong position.
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
then we can switch the x & y from there.
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
it's hard to do math on these boards lol
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
yeh I know haha, especially trying to write the equation takes years.
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
i think i have it let me check with my calculator
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
ok lol i can't figure out how to do it on my calculator but i think it's right, so all we are doing is changing the question into a log of the same equasion then when we swap x and y we already have the answer
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
by the rules of logarithms we have loga^b=c is the same as a^c=b
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
ok, and it turns out to be\[y=\log _{3}x\] right?
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
so taking your problem y=3^x and putting it in log form we get log3^y=x then we swap y and x to get log3^x=y is that right?
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
so let's try the second one
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.1
y=5^x is log5^y=x so swap is log5^x=y
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
yep but the answer only says 5^x for some reason.
 one year ago

JayDSBest ResponseYou've already chosen the best response.1
confusing, I'll just have to ask my teacher. I'm just doing it advanced anyway.
 one year ago
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