|Log x ab = log x a + log x b.|
log x ab = p, therefore ab = xp--------I
Let log x a = q, a = xq---------------II
log x b = r, b = xr----------III
From I and II,
ab = xq.xr = xq+r
ab = xp------IV
from I, II, III and IV, we get
xp = xq+r
Therefore, p = q + r
Therefore, log x ab = log x a + log x b
The logarithm of the product of two numbers is equal to the sum of the logarithms of those to numbers.
Directions: Solve the following problems. Also write at least five examples of your own.