Please help me in that last question l asked find n if 142n=47ten.i reached a particular place then l was confused

1 answer

I see you're working with base conversion. In your question, there seems to be a confusion. Is 'ten' a base 10? If it is, let me proceed with that assumption.

I'm assuming 47 = 4*10^1 + 7*10^0 = 47 in base 10.

Now, expressing 47 in base 142 should be easy if you perform some basic calculations.

142n = 47(10) implies that n is actually 47 represented in base 142. The highest digit in a base should be one less than the base itself, thus, 47 can be directly represented in base 142 as 47 itself, because 47<(142-1).

So, if you're asked to find n, n should be 47.