Question

1/2 log 9 + 1/ 3 log 27​

Answer 1

Answer:

touch above... see the answer!

Answer 2

Given:

1/2 log 9 + 1/ 3 log 27

To find:

The value of 1/2 log 9 + 1/ 3 log 27

Solution:

The value of 1/2 log 9 + 1/ 3 log 27 is log 9.

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

We know that in logarithm, log a²=2log a.

Using this identity, we will calculate the value of the given expression.

=1/2 log 9 + 1/ 3 log 27

=1/2 log 3²+ 1/3 log 3³

=1/2×2log 3+ 1/3×3log 3

On solving further, we get

=log 3+log 3

=2log 3

Using the same identity,

=log 3²

=log 9

Therefore, the value of 1/2 log 9 + 1/ 3 log 27 is log 9.