Math Help - Log question. (without a calc evaluate)

Hi there,

I have a question, how do you evaluate the following without a calculator?

log2(log3(log5^125)))

Thanks

ps. log2, log3 and log5 are the bases

Originally Posted by captain_jonno

Hi there,

I have a question, how do you evaluate the following without a calculator?

log2(log3(log5^125)))

Thanks

ps. log2, log3 and log5 are the bases

Err doesn't really make sense.

Do you mean:

?

If so, take the very first term, and set it equal to y:



This means that

You should be able to tell that , and hence .

So now you have:



Now take that term again, and set it equal to another variable, x.



. Clearly

This gives:



Set it equal to a random variable:





Clearly

Originally Posted by Mush

Err doesn't really make sense.

Do you mean:

?

Indeed I do, though there is no front bracket '(' on there 125 for my question.
it says: Without a calculator, evaluate the following:

Originally Posted by captain_jonno

Indeed I do, though there is no front bracket '(' on there 125 for my question.

See my edited post above.

Thanks a bunch Mush, very quick response.

so its just 0(1(3)))

Originally Posted by captain_jonno

Thanks a bunch Mush, very quick response.

so its just 0(1(3)))

Nah it's more like:

Thanks, thats actually how i wrote it down in the end . good stuff