The function F(x)=log5 x is increasing. True or false?

Question

jim_thompson5910 · Answer

use a graphing calculator. If you don't have one, then use something like desmos https://www.desmos.com/calculator/l7gildqroh

anonymous · Answer

But what would be the equation? i don't understand it.

jim_thompson5910 · Answer

I used the change of base formula

$$\Large \log_b(x) = \frac{\log(x)}{\log(b)}$$
$$\Large \log_5(x) = \frac{\log(x)}{\log(5)}$$

jim_thompson5910 · Answer

the equation you type in is `log(x)/log(5)`

anonymous · Answer

So it would be true then.

jim_thompson5910 · Answer

yep, as you move from left to right, you are moving up on the y axis

anonymous · Answer

Thank you.

jim_thompson5910 · Answer

np

yumyum247 · Answer

hold up i have i quick question here...so what's wrong if we just plot f(x) = log_5 x

yumyum247 · Answer

@jim_thompson5910

jim_thompson5910 · Answer

I don't understand what you're asking @YumYum247

yumyum247 · Answer

why are they both different??

jim_thompson5910 · Answer

the plot is shown at the link I posted

jim_thompson5910 · Answer

desmos understands `log_5(x)` to mean the same thing

jim_thompson5910 · Answer

some calculators won't be able to understand that notation though

yumyum247 · Answer

yes but then i copy pasted the expression above right into the graph and i got a slightly different graph...

jim_thompson5910 · Answer

it should be the same

jim_thompson5910 · Answer

yumyum247 · Answer

hold up let me upload real quick :")

yumyum247 · Answer

jim_thompson5910 · Answer

you typed in log(5x) instead of log_5(x)

yumyum247 · Answer

oh snappp...thanks blurr luv you <3

jim_thompson5910 · Answer

yumyum247 · Answer

i got it what chu mean...thanks blurr <3 :")

jim_thompson5910 · Answer

no problem