Help with a few questions please? #QuickHelp #willMEDALandFAN !!
@satellite73 lend a hand?
\[b^x=y\iff \log_b(y)=x\]
for example \[5^2=25\iff \log_5(25)=2\] you should know how to swtich back and forth quiclkly \[\log_10(.01)=-2\iff 10^{-2}=0.01\]
i made a typo there \[\log_{10}(0.01)=-2\iff 10^{-2}=0.001\]
So what do you think It would be? Im assuming from what you just said, It'd be C
no not C
\[\left(\frac{1}{3}\right)^3=\frac{1}{27}\] the base is \(\frac{1}{3}\) that should be the base of your log
okay its B then, correct?
nope
Wow.. So im guessing the only option now is A.
\[\huge \log_b(\color{red}A)=\color{blue}B\iff b^{\color{blue}B}=\color{red}A\]
Ok.. Lets move onto the next one?
yeah first one i sA
second one is the same, only you are going in the other direction
lag is real bad here make a guess, i will check it
lol take me through the steps
And yeah the lag on this website period is terrible
\[\huge \log_b(\color{red}A)=\color{blue}B\iff b^{\color{blue}B}=\color{red}A\] \[\huge \log_2(\color{red}{128})=\color{blue}7\iff b^{\color{blue}B}=\color{red}A\] fill it in
It's D. 128=2^7
yes
Lets move onto the next one
again, fill it in
1/9 = 3^-2
\[\huge \log_b(\color{red}A)=\color{blue}B\iff b^{\color{blue}B}=\color{red}A\]\[\huge \log_3(\color{red}{\frac{1}{9}})=\color{blue}{-2}\iff b^{\color{blue}B}=\color{red}A\]
yes
you getting this? (i hope)
Yes kinda lol Was I correct for my last answer^^?
yes
last one answer this question : 2 to what power is 16?
2^4
\[\huge \log_b(\color{red}A)=\color{blue}B\iff b^{\color{blue}B}=\color{red}A\]\[\huge \log_2(\color{red}{16})=\color{blue}4\iff 2^{\color{blue}4}=\color{red}{16}\]
Can you help with a few more please?
sure this lag is really killngme though
laggy*
a) 49 to what power is 7? if that is not obvious, say so and i will show you that is what you are looking for
Its not obvious lol
\[\sqrt{49}=7\] which can be written as \[49^{\frac{1}{2}}=7\] you have to think of all of these in terms of exponents
since \[49^{\frac{1}{2}}=7\] that is the same as \[\log_{49}(7)=\frac{1}{2}\]
b) cannot be solved, you cannot take the log of a negative number
Ok we've finished two fast lol next one please
5 to what power is 1?\[5^x=1\] what is \(x\)?
0
bingo so \[\log_5(1)=0\]
Ok lets move onto the last two
they have nothing to do with logs, true for any function \(f\) compared to the graph of \(y=f(x)\) the graph of \(y=f(x+1)\) is translated LEFT 1 unit
oh hold on it is a bit ambiguous
not sure if they meant \[\log(x+1)\] or \[\log(x)+1\]
because they are lazy and don't use parentheses where does this question come from?
From a practice
it is not clear so lets go to the last one ask your lazy teacher if they meant \[\log_5(x)+1\] which is UP 1 or \(\log_5(x+1)\) which is LEFT 1
Gotcha lol
Lets do the last one
ima just tel you compared to \(y=f(x)\) the graph of \(y=f(x-5)+3\) is RIGHT 5, UP 3
THANKS! i appreciate it lol & can you atleast fan me back?
sure, i'll send you an invoice
just kidding, i fanned you
lol I didn't get a notification but ill take your word for it. Thanks though!
you can check by sending me a message i only get them form people i am a fan of
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