# Class 11 RD Sharma Solutions – Chapter 29 Limits – Exercise 29.10 | Set 1

### Question 1.

Solution:

We have,

=

=

=

=

=

=

We know,. So, we have,

= 4 log 5

### Question 2.

Solution:

We have,

=

=

We know,. So, we have,

=

As, we get,

=

Solution:

We have,

=

=

=

As, we get,

=

= (loge a)2

Solution:

We have,

=

=

As, we get,

=

=

Solution:

We have,

=

=

=

=

As, we get,

= log a + log b

= log (ab)

### Question 6.

Solution:

We have,

=

=

=

=

=

=

As, we get,

= (log 3 âˆ’ log 2)2

=

Solution:

We have,

=

=

=

=

As, we get,

= 2(log2)2

### Question 8.

Solution:

We have,

=

=

=

=

As, we get,

= m log a âˆ’ n log b

= log am âˆ’ log bn

=

### Question 9.

Solution:

We have,

=

=

=

As, we get,

= log a + log b + log c

= log (abc)

### Question 10.

Solution:

We have,

=

Let x âˆ’ 2 = h. So, we get,

=

=

=

=

We know,. So, we have,

= log a

### Question 11.

Solution:

We have,

=

=

=

As, we get,

= log 5 + log 3 + log 2

= log (5Ã—3Ã—2)

= log 30

### Question 12.

Solution:

We have,

=

Let 1/x = h. We get,

=

=

As, we get,

= log a

Solution:

We have,

=

=

=

=

=

=

Asand, we get,

=

=

=

### Question 14.

Solution:

We have,

=

=

=

As, we get,

= log a + log b âˆ’ log c âˆ’ log d

= log a+ log b âˆ’ (log c + log d)

= log ab âˆ’ log cd

=

Solution:

We have,

=

=

Asand, we get,

= log e + 1

= 1 + 1

= 2

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