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Mathematics 21 Online
OpenStudy (anonymous):

Which logarithmic graph can be used to approximate the value of y in the equation 6y = 12

OpenStudy (anonymous):

these are the graphs

OpenStudy (anonymous):

@jdoe0001

OpenStudy (jdoe0001):

\(\Large 6^y=12\quad ?\)

OpenStudy (anonymous):

yes sorry I forgot to make y an exponent

OpenStudy (jdoe0001):

well... I assume you're meant to graph it, then check against the choices

OpenStudy (anonymous):

I don't know how to graph this because every online graph doesn't understand...

OpenStudy (jdoe0001):

hmm well ... have you covered logarithms much?

OpenStudy (anonymous):

yes I just cant remember at the time

OpenStudy (anonymous):

could you tell me how to do this so I can finish :) this is my last question

OpenStudy (jdoe0001):

I'm thinking you'd need to graph it to match it up lemme use the "log change of base formula" so \(\bf log_{\color{red}{ a}}{\color{blue}{ b}}=y\implies {\color{red}{ a}}^y={\color{blue}{ b}} \\ \quad \\ \quad \\ {\color{red}{ 6}}^y={\color{blue}{ 12}}\iff log_{\color{red}{ 6}}{\color{blue}{ 12}}=y \\ \quad \\ \textit{log change of base rule } \\ \quad \\ log_{\color{red}{ 6}}{\color{blue}{ 12}}=y\implies \cfrac{log(12)}{log(6)}=y\) so... graph that, and match against the choices

OpenStudy (anonymous):

ok thank you!!! :)

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