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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
3.18 Logarithm of a Product

Log x ab = log x a + log x b.
Proof:
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
from I,
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.

Example:
log 2 3*5 = log 2 3 + log 2 5.


Directions: Solve the following problems. Also write at least five examples of your own.
Q 1: log 3 5 + log 3 7 = _________.
log 3 12
log 3 7
log 3 35
log 3 5

Q 2: log 6 2 + log 6 8 = _________.
log 6 10
log 6 8
log 6 16
log 6 2

Q 3: log 4 2 + log 4 11 = _________.
log 4 22
log 4 2
log 4 13
log 4 11

Q 4: log 5 3 + log 5 2 = _________.
log 5 3
log 5 5
log 5 2
log 5 6

Q 5: log 8 9 + log 8 7 = _________.
log 8 16
log 8 7
log 8 63
log 8 9

Q 6: log 10 5 + log 10 5 = _________.
log 10 10
None of these
log 10 5
log 10 25

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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