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Mathematics 14 Online
OpenStudy (anonymous):

Help with a few questions please? #QuickHelp #willMEDALandFAN !!

OpenStudy (anonymous):

@satellite73 lend a hand?

OpenStudy (anonymous):

\[b^x=y\iff \log_b(y)=x\]

OpenStudy (anonymous):

for example \[5^2=25\iff \log_5(25)=2\] you should know how to swtich back and forth quiclkly \[\log_10(.01)=-2\iff 10^{-2}=0.01\]

OpenStudy (anonymous):

i made a typo there \[\log_{10}(0.01)=-2\iff 10^{-2}=0.001\]

OpenStudy (anonymous):

So what do you think It would be? Im assuming from what you just said, It'd be C

OpenStudy (anonymous):

no not C

OpenStudy (anonymous):

\[\left(\frac{1}{3}\right)^3=\frac{1}{27}\] the base is \(\frac{1}{3}\) that should be the base of your log

OpenStudy (anonymous):

okay its B then, correct?

OpenStudy (anonymous):

nope

OpenStudy (anonymous):

Wow.. So im guessing the only option now is A.

OpenStudy (anonymous):

\[\huge \log_b(\color{red}A)=\color{blue}B\iff b^{\color{blue}B}=\color{red}A\]

OpenStudy (anonymous):

Ok.. Lets move onto the next one?

OpenStudy (anonymous):

yeah first one i sA

OpenStudy (anonymous):

second one is the same, only you are going in the other direction

OpenStudy (anonymous):

lag is real bad here make a guess, i will check it

OpenStudy (anonymous):

lol take me through the steps

OpenStudy (anonymous):

And yeah the lag on this website period is terrible

OpenStudy (anonymous):

\[\huge \log_b(\color{red}A)=\color{blue}B\iff b^{\color{blue}B}=\color{red}A\] \[\huge \log_2(\color{red}{128})=\color{blue}7\iff b^{\color{blue}B}=\color{red}A\] fill it in

OpenStudy (anonymous):

It's D. 128=2^7

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Lets move onto the next one

OpenStudy (anonymous):

again, fill it in

OpenStudy (anonymous):

1/9 = 3^-2

OpenStudy (anonymous):

\[\huge \log_b(\color{red}A)=\color{blue}B\iff b^{\color{blue}B}=\color{red}A\]\[\huge \log_3(\color{red}{\frac{1}{9}})=\color{blue}{-2}\iff b^{\color{blue}B}=\color{red}A\]

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

you getting this? (i hope)

OpenStudy (anonymous):

Yes kinda lol Was I correct for my last answer^^?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

last one answer this question : 2 to what power is 16?

OpenStudy (anonymous):

2^4

OpenStudy (anonymous):

\[\huge \log_b(\color{red}A)=\color{blue}B\iff b^{\color{blue}B}=\color{red}A\]\[\huge \log_2(\color{red}{16})=\color{blue}4\iff 2^{\color{blue}4}=\color{red}{16}\]

OpenStudy (anonymous):

Can you help with a few more please?

OpenStudy (anonymous):

sure this lag is really killngme though

OpenStudy (anonymous):

laggy*

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Its not obvious lol

OpenStudy (anonymous):

\[\sqrt{49}=7\] which can be written as \[49^{\frac{1}{2}}=7\] you have to think of all of these in terms of exponents

OpenStudy (anonymous):

since \[49^{\frac{1}{2}}=7\] that is the same as \[\log_{49}(7)=\frac{1}{2}\]

OpenStudy (anonymous):

b) cannot be solved, you cannot take the log of a negative number

OpenStudy (anonymous):

Ok we've finished two fast lol next one please

OpenStudy (anonymous):

5 to what power is 1?\[5^x=1\] what is \(x\)?

OpenStudy (anonymous):

0

OpenStudy (anonymous):

bingo so \[\log_5(1)=0\]

OpenStudy (anonymous):

Ok lets move onto the last two

OpenStudy (anonymous):

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

OpenStudy (anonymous):

oh hold on it is a bit ambiguous

OpenStudy (anonymous):

not sure if they meant \[\log(x+1)\] or \[\log(x)+1\]

OpenStudy (anonymous):

because they are lazy and don't use parentheses where does this question come from?

OpenStudy (anonymous):

From a practice

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Gotcha lol

OpenStudy (anonymous):

Lets do the last one

OpenStudy (anonymous):

ima just tel you compared to \(y=f(x)\) the graph of \(y=f(x-5)+3\) is RIGHT 5, UP 3

OpenStudy (anonymous):

THANKS! i appreciate it lol & can you atleast fan me back?

OpenStudy (anonymous):

sure, i'll send you an invoice

OpenStudy (anonymous):

just kidding, i fanned you

OpenStudy (anonymous):

lol I didn't get a notification but ill take your word for it. Thanks though!

OpenStudy (anonymous):

you can check by sending me a message i only get them form people i am a fan of

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