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Let N be \[\frac{ \log3(135) }{ \log15(3) } - \frac{ \log3(5) }{ \log405(3) }\]
Then N is (A) a natural number (B)a prime number (C)a rational number (D)an integer
I suggest to make the same base of each log.
I'd suggest that the appropriate approach here would be to simplify each of your two fractions separately and look for ways to combine the two results. Another objective you might set for yourself would be that of mathslover (above): express all of the logs to the same base.
i would come back after a while
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