find the base b that makes the following statement true : 132(base b) = 30?

It would be base 4 because in base 4, the units digit has place value 1, the second digit has place value n4, and the third has place value 16. So 1X16 + 3X4 + 2×1 = 30.

132(base b) = 1 x b^2 + 3 x b + 2

no matter what the base is.

Soooo if 132 (base b) = 30 we have:

b^2 + 3b + 2 =30

This becomes b^2 + 3b – 28 =0

Now you can use the quadratic equation or factor it in order to solve for b

(b+7) (b-4) =0

Therefore b= -7 or b = 4, but since a base of -7 isn’t likely to be what you’re looking for, try a base of 4

If you use base 4 in the original 132, then sure enough it is equal to 30 (base 10)

I’m assuming that you were actually wanting it to be equal to 30 (base 10) if not, you can still use a similar method and work from there

Good. luck

Hmm, i don’t think that’s possible if you’re talking about exponents and powers…