Question

Write 5^(4x)=8 in calculation ready form
*W/ Attachment*

Answer 1

Too bad that makes no sense. "Calculation Ready Form"? Why are we inventing new terms.

Perhaps, "Solve for x" would be good.

Answer 2

\[b^{\xi}=A\iff \xi =\frac{\ln(A)}{\ln(b)}\]

Answer 3

What does \(\xi\) mean?

Answer 4

\[4x=\frac{\ln(8)}{5}\\
x=\frac{\ln(8)}{4\ln(5)}\]

Answer 5

lol it is just so as not to confuse \(x\) with \(4x\)
my new favorite greek letter xi

Answer 6

also a terrific two letter scrabble word

Answer 7

Oh, I thought it held some significance as to the log rules pertaining to this problem x_x

Answer 8

I'm disappointed I've forgotten a lot of my log rules. Especially this one.

Answer 9

They are confusing. But thanks Anyway!

Answer 10

It doesn't matter what \(\xi\) means. The principle is the same.

\(a^{Pittsburgh} = b \implies Pittsburgh = \dfrac{log(b)}{log(a)} = \log_{a}(b)\)