Log problem, please help asap, do soon!

[rosterloh09]

hey guys i really need help with this problem ASAP

the problem is: how many different prime numbers are factor of N if log2 (log3(log5(log7(N))))=11?

thanks ahead of time!

 

[Deleted member 4993]

hey guys i really need help with this problem ASAP

the problem is: how many different prime numbers are factor of N if log2 (log3(log5(log7(N))))=11?

thanks ahead of time!

I assume:

log7(N) means log[sub:1acegbdz]7[/sub:1acegbdz](N)

If that is correct then use - definition of log function:

If

log[sub:1acegbdz]a[/sub:1acegbdz]b = c

then

b = a[sup:1acegbdz]c[/sup:1acegbdz]

Use it repeatedly and analyze.

In your problem

log[sub:1acegbdz]2[/sub:1acegbdz] (log[sub:1acegbdz]3[/sub:1acegbdz](log[sub:1acegbdz]5[/sub:1acegbdz](log[sub:1acegbdz]7[/sub:1acegbdz](N))))=11

then

log[sub:1acegbdz]3[/sub:1acegbdz](log[sub:1acegbdz]5[/sub:1acegbdz](log[sub:1acegbdz]7[/sub:1acegbdz](N))) = 2[sup:1acegbdz]11[/sup:1acegbdz]

and so on....
Please show us your work, including exactly where you are stuck - ao that we know where to begin to help

 

[rosterloh09]

kk thanks