Question

Help with Logarithms. MEDAL and FAN. Question below...

Answer 1

\[WhatPower _{\frac{ 1 }{ 2 }}(\frac{ 1 }{ 8 })=?\]

Answer 2

@zepdrix

Answer 3

Notice that your base is 1/2.
So similar to the last problem, we're going to try and turn the "contents" of our log into a 1/2 some how

Answer 4

I think it is 3 but i'm not sure

Answer 5

\[\large\rm \frac{1}{8}=\frac{1}{2^3}=\left(\frac{1}{2}\right)^3\]And the 3 comes outside using that rule from before?

Yessss good job! :)

Answer 6

yay!

Answer 7

it means (1/2)^(1/2*1/2*1/2). So ans will be 0.91700403