Question

Which of the following points is on the graph of y = log1/2x?

Answer 1

(1, 1/2)
(1/2, 1)
(0, 1)

Answer 2

well, you know that a logarithmic function it's just another form of an exponential one
that is

\(\large y^\color{red}{n} = m\)
in log notation you'd say
\(\large log_ym = \color{red}{n}\)

Answer 3

I don't understand at all

Answer 4

well, ahemm, that'd be the notation, I'd think you would have covered this by now, but anyhow
gimme a number raised to some power and its result
I'll put it in logarithmic notation, just to show you

Answer 5

say \(\large 2^\color{red}{3} = 8\)
\( \large \implies log_28 = \color{red}{3}\)

Answer 6

see the relation?

Answer 7

I understand that, I just dont see how to find the answer above?

Answer 8

when the subscript for the log is omitted, then is implicitly understood is base 10
so
y = log1/2x
really means
\(\huge y =log_{10}\pmatrix{\frac{1}{2x}}\)

Answer 9

so 1, 1/2

Answer 10

so let's look at your numbers and test them about
(1, 1/2)
(1/2, 1)
(0, 1)

if x = 1, our fraction will turn to 1/2x = > 1/2(1) = 1/2
so
what is the "exponent" we need to raise 10 to get 1/2?
well, if we use the "1" given there,
10^1 = 10

Answer 11

woops, I meant... \(10^{\frac{1}{2}}\)

Answer 12

do you have a 4th choice?

Answer 13

is it \(\huge y =log_{10}\pmatrix{\frac{1}{2}x} \)instead?

Answer 14

here is different choices:
x = 2y
x = 2-y
x = -(2y)

Answer 15

hmmm, I don't see any of those choices as available

Answer 16

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiJsb2coMS8oMngpKSIsImNvbG9yIjoiI0UwMEI0OCJ9LHsidHlwZSI6MTAwMCwid2luZG93IjpbIi0xLjk1ODQwMDAwMDAwMDAwMDEiLCI0LjY5NzYiLCItMS40NDY0MDAwMDAwMDAwMDAxIiwiMi42NDk2Il19XQ--

that's the graph, notice that none of the choices given match