is y = log2x a logarithmic function?

Question

katherinesmith · Answer

anyone?

katherinesmith · Answer

$$y = \log _{2}x$$

jdoe0001 · Answer

is that a logarithmic function, hmmm let's see

$\bf is\ y = \color{red}{log}_2x \qquad \text{ a }\color{red}{\text{log}}\text{arithmic function?}$

what do you think?

katherinesmith · Answer

yes well it doesn't look like most of the logarithmic functions i've dealt with in the lesson so i didn't know if they were trying to confuse me. guess not.

katherinesmith · Answer

so how do you evaluate log10 ?

jdoe0001 · Answer

depends on the base, usually a calculator :)

katherinesmith · Answer

what do you mean depends on the base? the question is simply: Evaluate log10.

jdoe0001 · Answer

well, => http://www.purplemath.com/modules/logs/relatani.gif

katherinesmith · Answer

i did it on a calculator and it came out as 1

jdoe0001 · Answer

if you had a 0 on the calculator, yes, is 1

jdoe0001 · Answer

but that would be $\large log_{10}0$

katherinesmith · Answer

how do you write this as a logarithmic function?
$$y = 2^{x}$$

jdoe0001 · Answer

look at http://www.purplemath.com/modules/logs/relatani.gif

katherinesmith · Answer

you keep sending me a graphic...

jdoe0001 · Answer

yes, it's nice isnt' it :)

katherinesmith · Answer

...

jdoe0001 · Answer

the graphic show the relationship of the logarithmic notation to the exponential notation

katherinesmith · Answer

the first two times i clicked that graphic it was just a purplemath advertisement graphic. the third time i clicked on it it actually did what you were talking about.

jdoe0001 · Answer

so, how  would you write $y = 2^x$   as an exponential notation?

jdoe0001 · Answer

as logarithmic notation rather

katherinesmith · Answer

log2y = x