Question

log 144 is equal to:
(a) 2 log 4 + 2 log 2
(c) 3 log 2 + 4 log 3
by
4 log 2 + 2log 3
ex 3 log 2 - 4 log 3​

Answer 1

Answer:

4log2+2log3

Step-by-step explanation:

this may helps you..

good luck..

Answer 2

Given:

log144

To find:

The value of log144

Solution:

Log144 is equal to 4log2+2log3.

We can find the value by following the steps given below-

We know that logm²=2logm.

Using this property of logarithm, we get

log144=log12²

=2log12

The number 12 is a product of 3 and 4 and we also know that log(mn)=log m+log n.

So, 2log12 becomes 2log(3×4).

=2(log3+log4)

=2log3 +2log4

Using the first property again, we get

=2log3+ 2log2²

=2log3+2×2log2

=2log3+4log2

Therefore, the value of log144 is equal to 4log2+2log3.