# Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.12

You can Download Samacheer Kalvi 11th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

## Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.12

Question 1.
Let b > 0 and b ≠ 1. Express y = bx in logarithmic form. Also state the domain and range of the logarithmic function.
Solution:
Given y = bx ⇒ logby = x, x ∈ R with range (0, ∞) (-∞, ∞)

Question 2.
Compute log927 – log279.
Solution:
Let log927 = x ⇒ 27 = 9x ⇒ 33 = (32)x = 32x
⇒ 2x = 3 ⇒ x = 3/2
Let log279 = x

Question 3.
Solve log8x + log4x + log2x = 11
Solution:

Question 4.

Solution:

Question 5.

Solution:

Question 6.

Solution:

Another methods

Question 7.

Solution:

Question 8.

Solution:

Question 9.

Solution:

Question 10.

Solution:

Question 11.

Solution:

Question 12.
Solve log5 – x(x2 – 6x + 65) = 2
Solution:
log5 – x(x2 – 6x + 65) = 2
⇒ x2 – 6x + 65 = (5 – x)2
x2 – 6x + 65 = 25 + x2 – 10x
⇒ x2 – 6x + 65 – 25 – x2 + 10x = 0
4x + 40 = 0 ⇒ 4x = -40
x = -10

Question 1.

Solution:

Question 2.

Solution:

Question 3.

Solution:

Question 4.

Solution: