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Mathematics 14 Online
OpenStudy (anonymous):

What function is graphed below? f(x) = log (x – 3) f(x) = log (x + 3) f(x) = log x + 3 f(x) = log x – 3

OpenStudy (anonymous):

ganeshie8 (ganeshie8):

hint : log(x) cuts x axis at 1

ganeshie8 (ganeshie8):

the given graph is cutting x axis at 4

OpenStudy (jazzyfa30):

go to this website and type in each equation then click graph and it will graph it for you http://www.meta-calculator.com/online/

ganeshie8 (ganeshie8):

so it has slided 3 units to right !

ganeshie8 (ganeshie8):

this we simply replace x with (x-3) log(x) ---- > log(x-3)

ganeshie8 (ganeshie8):

log(x) becomes log(x-3) when it slides right by 3 units.

ganeshie8 (ganeshie8):

does that make some sense

OpenStudy (anonymous):

yes it does . its simpler than i thought ! (:

ganeshie8 (ganeshie8):

sounds good :)

OpenStudy (anonymous):

Which of the following is equivalent to log 2x 3y

OpenStudy (anonymous):

2x is lower by the way . i think its called the subscript.

ganeshie8 (ganeshie8):

\(\large \log_{2x} 3y\)

ganeshie8 (ganeshie8):

like this ?

OpenStudy (anonymous):

yess (: . shhould i type the answer choices to show you??

ganeshie8 (ganeshie8):

it wud be a pain to type all.. il show u how it simplifies, see if its there in ur choices ok

OpenStudy (anonymous):

thats even better ! (:

ganeshie8 (ganeshie8):

use this :- \(\large \log_b a = \frac{\log a }{\log b }\)

ganeshie8 (ganeshie8):

\(\large \log_{2x} 3y = \frac{\log 3y}{\log 2x}\)

ganeshie8 (ganeshie8):

do u have it in ur options ha

OpenStudy (anonymous):

is it supposed to have parenthesis or no ?

ganeshie8 (ganeshie8):

you can have parenthesis like this :- \(\large \log_{2x} 3y = \frac{\log (3y)}{\log (2x)}\)

OpenStudy (anonymous):

yess ! you are reallyyy Smart !!!!!!!!!!!!!!!!!!!!!!!!!! (::

ganeshie8 (ganeshie8):

you're smart, not me lol :)

OpenStudy (anonymous):

How long it will take for $300 to double when invested at 6% annual interest compounded twice a year? i got 11.7 . am i right ?

ganeshie8 (ganeshie8):

\(300 (1 +\frac{.06}{2})^{2*t} = 600\)

ganeshie8 (ganeshie8):

t = 11.7249

ganeshie8 (ganeshie8):

you're right ! gw !!

ganeshie8 (ganeshie8):

it takes 11.7 years to double the money

OpenStudy (anonymous):

Yaaaayy (:. okk im going to open a new thread .

ganeshie8 (ganeshie8):

we can continue here if u want... new thread is also fine lol

OpenStudy (anonymous):

nooopee. here is fine i have like 3 more on this assigmentt.

OpenStudy (anonymous):

Which of the following statements is true? An exponential function is never the inverse of a logarithmic function. The base of the logarithmic function f(x) = log5x is unknown. The range of the logarithmic function f(x) = log5x is all real numbers. The domain of the logarithmic function f(x) = log5x is all real numbers.

OpenStudy (anonymous):

i think c or d im just not sure.

ganeshie8 (ganeshie8):

hint : log function cannot take negative values as input

ganeshie8 (ganeshie8):

so the domain of log is always positive real numbers oly.

ganeshie8 (ganeshie8):

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