In this page solving logarithmic equations questions 11 we are going to see solution of eleventh problem from the worksheet. After understand the steps you can try other question listed below.
For solving any critical questions in this topic we have to remember the following points listed below.
Points to remember:
Let us see different type of problems to understand this topic better.
Question 11
Find the value of x
log₃ √(10x + 5)  1/2 = log₃ √(x + 1)
Solution
log₃ √(10x + 5)  1/2 = log₃ √(x + 1)
log₃ √(10x + 5)  log₃ √(x + 1) = 1/2
log₃ [√(10x + 5)/√(x + 1)] = 1/2
[√(10x + 5)/√(x + 1)] = 3^(½)
√(10x + 5)/(x + 1) = 3^(½)
(10x + 5)/(x + 1) = 3
(10x + 5) = 3 (x + 1)
10 x + 5 = 3 x + 3
10x  3 x = 3  5
7 x =  2
x =  2/7
Question 1 Simplify log ₃ 15  log ₃ 5 + 2 log ₃ 5 

Question 2 Find the value of x log ₃ x + log ₃ 7 = log ₃ 11 

Question 3 Find the value of x x log ₁₆ 8 + 1 = 0 

Question 4 Find the value of x log₄ x x log₄ 16 = log₄ 256 

Question 5 Find the value of x log₄ (x + 2) + log₄ 3 = 2 

Question 6 Find the value of x log₃ (2x + 1)  log₃ (2x1) = log₃ 4 

Question 7 Find the value of x log₃ 10x  log₃ (x+1) = 2


Question 8 Find the value of x log₂ (7x+3)  log₂ (5x1) = log ₂ 3  1 

Question 9 Find the value of x log₅ (10+x) = log ₅ (3 + 4x) 

Question 10 Find the value of x log₅ (5 log₃ x) = 2 

Question 12 Find the value of x log₂ x + log ₄ x + log₈ x = 11/6 

Question 13 Find the value of x log₃ x + log₉ x + log₈₁ x = 7/4 

Question 14 Find the value of x log (x + 1) + log (x  1) = log 24 

Question 15 Find the value of x 2 log₅ 3 x log₉ x +1 = log₅ 3 
solving logarithmic equations questions 11 solving logarithmic equations questions 11 