Question

log base 8 (0.25) compute the log

Answer 1

-2/3

Answer 2

You can think of it as => 8^(x) = 0.25?
What does x need to be.

Answer 3

you could also use change of base formula
=ln(0.25)/ln(8)

Answer 4

when i tried to solve it I broke it down to 8^y = 25/100. simplifed and got 8^y = 1/4. 2^3= 1/2^2. the i got stuck

Answer 5

i know change of base works but i must show work

Answer 6

8^x = 1/4
we know x has to be -,
8^(2/3) = 4

Answer 7

Or if you're like me and you can never remember the change of base formula...
Let \(k=log_8 (.25)\)
\[\implies 8^k = .25\]
\[\implies k(ln8) = ln (.25)\]
\[\implies k = \frac{ln(.25)}{ln8}\]
\[\implies log_8(.25) = \frac{ln(.25)}{ln8}\]

Answer 8

8^2 = 64
third root of 64 = 4.
The way you are showing you work if you can reason that.

Answer 9

Ok I see