| Logs Within Logs |
Find the value of n if:
log2(log3(log42n)) = 2 |
Problem Moderated by: Sasha |
| Problem Solution |
This is pretty straightforward--just remember the definition of a log:
logab=c if ac = b
Thus the equation can be rewritten as:
22 = log3(log42n)
Now we invoke the definition again:
322 = log42n
81 = log42n
481 = 2n
22*81 = 2n
Therefore, n = 2 * 81 = 162
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