Question

Which logarithmic graph can be used to approximate the value of y in the equation 4y = 5?

Answer 1

@jdoe0001

Answer 2

hint:

\[\Large b^x = y\]

converts to

\[\Large \log_{b}(y) = x\]

Answer 3

\(\bf {\color{red}{ a}}^y={\color{blue}{ b}}\implies log_{\color{red}{ a}}{\color{blue}{ b}}=y
\\ \quad \\ \quad \\

{\color{red}{ 4}}^y = {\color{blue}{ 5}}\implies ?\)

Answer 4

log_(4)5

Answer 5

yeap =y

Answer 6

what would the graph look like?

Answer 7

well.. is a fixed value.... so... just get the constant value for "y" that is, get \(\bf log_45\)

Answer 8

so y = "some constant" means is a horizontal line at that point

Answer 9

I need the graph which is unfortunate bc I keep looking it up and its none of the options

Answer 10

maybe you're looking for a graph that has the root of \[\Large \log_{4}(5)\]

Answer 11

\[\Large \log_{4}(5) = \frac{\log(4)}{\log(5)} \approx 0.86135\]

Answer 12

I need the graph not the answer

Answer 13

hmmm is a constant... thus if you notice jim_thompson5910 's line above y = 0.86135 so that's the line, that's the graph

Answer 14

hmm actaully.... would be \( \log_{4}(5) = \cfrac{\log(5)} {\log(4)}\)

Answer 15

oh right my bad lol

Answer 16

swapped the numbers

Answer 17

using the log change of base rule.... then just graph it, since it's just a constant... is just a horizontal line

Answer 18

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiJsb2coNSkvbG9nKDQpIiwiY29sb3IiOiIjRDkyNTI1In0seyJ0eXBlIjoxMDAwfV0-

Answer 19

that's not an option :/

Answer 20

@jim_thompson5910 please help

Answer 21

well

\[\Large \log_{4}(5) = \frac{\log(5)}{\log(4)} \approx 1.160964047\]

Answer 22

unfortunately there are 2 graphs that have a root near 1.160964047 (so it looks like)

Answer 23

which one would you choose @jim_thompson5910

Answer 24

the two choices I mentioned both seem equally likely

I have no idea which one I would choose (other than just randomly picking one)

Answer 25

Did you finally got the answer because I'm stuck on it