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Mathematics 20 Online
OpenStudy (anonymous):

Please help, :) I will leave equation below!

OpenStudy (ahsome):

The suspense :O

TheSmartOne (thesmartone):

^^ ikr lol

OpenStudy (emmamink):

What could it be oh what could it be?

OpenStudy (anonymous):

I would like to know how to solve such equation, I'm not asking for answers:) Solve the Equation: \[\left(\begin{matrix}8 \\ 5\end{matrix}\right)^{x}=\frac{ 25 }{ 64 }\]

OpenStudy (ahsome):

Its gonna be like: Evaluate the equation: \[\Huge{e^{\pi i}}+1=0\]

OpenStudy (anonymous):

hmmmm

OpenStudy (ahsome):

Is it a fraction, or a matrix?

OpenStudy (ahsome):

For the left side

OpenStudy (anonymous):

Fraction, don't know why it appeared like that

OpenStudy (ahsome):

K. Thats easy then. Have you heard of logs before?

OpenStudy (anonymous):

Yes

OpenStudy (ahsome):

Good. First, turn the equation to a log: \[(\frac{8}{5})^x=\frac{25}{64}\] In log form, becomes \[log_{\frac{25}{64}}\frac{8}{5}=x\] Now, you have a choice of using a calculator there. Are you allowed to?

OpenStudy (zarkon):

\[\frac{25}{64}=\left(\frac{64}{25}\right)^{-1}=\left(\frac{8^2}{5^2}\right)^{-1}=\cdots\]

OpenStudy (anonymous):

Yes, I am allowed but my calculator is a simple scientific calc.

OpenStudy (ahsome):

Do you have a \(\log_\square\square\)? Or a \(log_{10}\square\)?

OpenStudy (anonymous):

Yes

OpenStudy (ahsome):

Which one?

OpenStudy (anonymous):

oh wait it just says log, would that be the same as \[\log_{10} \]

TheSmartOne (thesmartone):

@Zarkon 's way is easier and more simpler and doesn't involve a calc... or even logs for all that matter..

OpenStudy (anonymous):

I see, thanks:)

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