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Mathematics 9 Online
OpenStudy (anonymous):

The graph of the logarithmic function y = loga(x) always passes through what point? Options Are: 1.(0,1) 2.(a,0) 3.(0,a) 4.(1,0) Im Bamboozled! please help q_q

OpenStudy (australopithecus):

look at the graph of log(x)

OpenStudy (australopithecus):

they dont give you the value of a do they?

OpenStudy (anonymous):

nope

OpenStudy (australopithecus):

log_a(x) = y is the same as x = a^y

OpenStudy (australopithecus):

what happens when you set y = 0?

OpenStudy (anonymous):

then a is 1?

OpenStudy (australopithecus):

if you set y = 0, x = 1 because remember when you take anything to the exponent 0 it always equals one an exception to this is 0^0 which is undefined

OpenStudy (australopithecus):

this is a fundamental rule commit it to memory

OpenStudy (australopithecus):

you should be able to tell me the point now :) since I pretty much gave you the answer

OpenStudy (anonymous):

wow i get it! thanks alot Mr!

OpenStudy (australopithecus):

Another thing you should commit to memory is that x > 0 or in english x is always greater than 0, if you are working with real numbers you cannot put a negative number in a logarithm

OpenStudy (australopithecus):

You can sub any number into y and you will never get out a negative x value 10^y = x

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