log

how is this problem simplified to = 3

log, base 5, of 8 /log, base 5, of 2

???

2 to the power 3 is equal to 8. log laws

"What rolls down stairs alone or in pairs
Rolls over your neighbor's dog?
What's great for a snack and fits on your back?
It's Log, Log, Log!

It's Log, Log, it's big, it's heavy, it's wood.
It's Log, Log, it's better than bad, it's good!
Everyone wants a log! You're gonna love it, Log!
Come on and get your log! Everyone needs a Log!"

--Ren&Stimpy

Originally posted by Doctor Rat
"What rolls down stairs alone or in pairs
Rolls over your neighbor's dog?
What's great for a snack and fits on your back?
It's Log, Log, Log!

It's Log, Log, it's big, it's heavy, it's wood.
It's Log, Log, it's better than bad, it's good!
Everyone wants a log! You're gonna love it, Log!
Come on and get your log! Everyone needs a Log!"

--Ren&Stimpy

hahahha🙄

Originally posted by joe shmo
how is this problem simplified to = 3

log, base 5, of 8 /log, base 5, of 2

???

log_5(8) = log_5(2^3) = 3 x log_5(2)

Originally posted by Doctor Rat
"What rolls down stairs alone or in pairs
Rolls over your neighbor's dog?
What's great for a snack and fits on your back?
It's Log, Log, Log!

It's Log, Log, it's big, it's heavy, it's wood.
It's Log, Log, it's better than bad, it's good!
Everyone wants a log! You're gonna love it, Log!
Come on and get your log! Everyone needs a Log!"

--Ren&Stimpy

Beat me to it... well done.

Originally posted by mtthw
log_5(8) = log_5(2^3) = 3 x log_5(2)

thanks for the explanation, that is exzactly what i was looking for.......

we have just begun to study these and that wouldn't have occurrred to me

Originally posted by joe shmo
thanks for the explanation, that is exzactly what i was looking for.......

we have just begun to study these and that wouldn't have occurrred to me

I have another question : If log b< 0, then what can be said about b?

Is the (b) refering to base, or is this an understood base 10, of b

the problem is if this is understood as log_10 (b) I dont see anyway (b) can be < 0

Originally posted by joe shmo
I have another question : If log b< 0, then what can be said about b?

Is the (b) refering to base, or is this an understood base 10, of b

the problem is if this is understood as log_10 (b) I dont see anyway (b) can be < 0

Think about this.

10^(-1) = 0.1

So what is log_10 (0.1) ?

The usual convention is that if the base is not given it is base 10.

Originally posted by mtthw
Think about this.

10^(-1) = 0.1

So what is log_10 (0.1) ?

The usual convention is that if the base is not given it is base 10.

ahhh....... I see Log_10(.1) = -1

I managed to completely abolish log's of fractions from my thought process..........😀

thanks again

Originally posted by Doctor Rat
"What rolls down stairs alone or in pairs
Rolls over your neighbor's dog?
What's great for a snack and fits on your back?
It's Log, Log, Log!

It's Log, Log, it's big, it's heavy, it's wood.
It's Log, Log, it's better than bad, it's good!
Everyone wants a log! You're gonna love it, Log!
Come on and get your log! Everyone needs a Log!"

--Ren&Stimpy

log out, will you