3 ms·
It’s not too difficult to see. Eg : 2^3 x 2^5 = 2^8 Explicitly writing the powers as multiplications : 2x2x2 x 2x2x2x2x2 = 2x2x2x2x2x2x2x2 So multiplying po
by jeffwass 5y ago
It’s not too difficult to see.
Eg : 2^3 x 2^5 = 2^8
Explicitly writing the powers as multiplications :
2x2x2 x 2x2x2x2x2 = 2x2x2x2x2x2x2x2
So multiplying powers of the same base is just adding the exponents.
Logarithms are the inverse of exponentiation.
Log2(N) counts how many factors of 2 are needed to multiply together to get N.
So Log2(2^x) = x
As per above example :
Log2(2^3 x 2^5) = 3 + 5