Please help, :) I will leave equation below!
The suspense :O
^^ ikr lol
What could it be oh what could it be?
I would like to know how to solve such equation, I'm not asking for answers:) Solve the Equation: \[\left(\begin{matrix}8 \\ 5\end{matrix}\right)^{x}=\frac{ 25 }{ 64 }\]
Its gonna be like: Evaluate the equation: \[\Huge{e^{\pi i}}+1=0\]
hmmmm
Is it a fraction, or a matrix?
For the left side
Fraction, don't know why it appeared like that
K. Thats easy then. Have you heard of logs before?
Yes
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?
\[\frac{25}{64}=\left(\frac{64}{25}\right)^{-1}=\left(\frac{8^2}{5^2}\right)^{-1}=\cdots\]
Yes, I am allowed but my calculator is a simple scientific calc.
Do you have a \(\log_\square\square\)? Or a \(log_{10}\square\)?
Yes
Which one?
oh wait it just says log, would that be the same as \[\log_{10} \]
@Zarkon 's way is easier and more simpler and doesn't involve a calc... or even logs for all that matter..
I see, thanks:)
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