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matadorqk
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Homework Statement
#8: Simplify: log91/27
Homework Equations
y=logb(x)
x=b^y
The Attempt at a Solution
I have personally not tried logarithms before, but I think the problem is really easy and I am probably just over-thinking it?
I think that, using the formula's below, 9^a=1/27
So, a=1/243, so my simplified answer should be 9^1/243=1/27..
Can I simplify fractions then, so that 9^1/9=1?
I have personally no exact knowledge on what I am doing, but can someone give me some hints or basic concepts on logarithms? Thanks!
**Edit:
Ok, I might be wrong above, I found some more laws, and since loga (x/y)= logax - loga y,
I get:
log 9 (1) - log 9 (27)
since loga 1 = 0
I know have:
- log 9 (27)
Err.. now what?
I have no idea how to plot it into my calculator...
But from my formulas (first two) I get that 9^2/3=27.. but does simplifying mean turning into exponential form? :S
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