SOLUTION: without using a calculator find the value of the following 1. logbase8 8 = is it 1? 2. logbase3(1/9) = -2?? 3. logbase1/3 9= 27??? 4. logbase5 cuberoot25 = I have no ide

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: without using a calculator find the value of the following 1. logbase8 8 = is it 1? 2. logbase3(1/9) = -2?? 3. logbase1/3 9= 27??? 4. logbase5 cuberoot25 = I have no ide      Log On

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Question 6186: without using a calculator find the value of the following
1. logbase8 8 = is it 1?
2. logbase3(1/9) = -2??
3. logbase1/3 9= 27???
4. logbase5 cuberoot25 = I have no idea
5. logbasesqrt3 9 = ??
6. lne^3= ??
Can someone help me with these i thought i understood but i'm really stuck.
thank you so much.
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
1. logbase8 8 = is it 1? This is correct.
2. logbase3(1/9) = -2?? This is correct
The first two problems seemed to be no problem for you, you simply put them into the same form and solved, so we can rewrite the following problems in the same form to see the answers as well:
3. logbase1/3 9= 27??? rewrite 9 as (1/3)^-2 so the problem is now:
log+%281%2F3%29%5E%281%2F3%29%5E-2=+-2
4. logbase5 cuberoot25 = rewrite cube root of 25 as 5%5E%282%2F3%29 so the problem now reads:
log%285%29%5E5%5E%282%2F3%29=2%2F3
5. logbasesqrt3 9 = rewrite 9 as sqrt%283%29%5E4
log+%28sqrt%283%29%29%5E%28sqrt%283%29%5E4%29=4
6. lne^3= = rewrite this as 3*lne (the lne=1) so, 3*1=3