Question

What common base can be used to rewrite each side of the equation mc002-1.jpg
2
3
5
8

Answer 1

I can't see the image file you referenced. Could you either paste the equation here or re-upload the image?

In the meantime: to pick a common base, rewrite both sides as powers of the same number (usually a prime or a small composite). For example:
- If the sides are 8 and 32, write 8 = 2^3 and 32 = 2^5, so use base 2.
- If the sides are 9 and 27, write 9 = 3^2 and 27 = 3^3, so use base 3.
- If the sides are 25 and 125, write 25 = 5^2 and 125 = 5^3, so use base 5.

Give me the equation (or the image) and I will pick which of 2, 3, 5, or 8 is the correct common base.