In this page solving logarithmic equations questions 4 we are going to see solution of fourth 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 4
Find the value of x
log₄ x x log₄ 16 = log₄ 256
Solution
log₄ x x log₄ 16 = log₄ 256
log₄ x x log₄ 4² = log₄ 256
log₄ x x 2log₄ 4 = log₄ 256
log₄ x x 2(1) = log₄ 256
2 log₄ x = log₄ 256
log₄ x² = log₄ 256
x² = 256
x = √256
x = √16 x 16
x = 16
Question 1 Simplify log ₃ 15 - log ₃ 5 + 2 log ₃ 5 |
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Question 2 Find the value of x log ₃ x + log ₃ 7 = log ₃ 11 |
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Question 3 Find the value of x x log ₁₆ 8 + 1 = 0 |
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Question 5 Find the value of x log₄ (x + 2) + log₄ 3 = 2 |
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Question 6 Find the value of x log₃ (2x + 1) - log₃ (2x-1) = log₃ 4 |
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Question 7 Find the value of x log₃ 10x - log₃ (x+1) = 2 |
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Question 8 Find the value of x log₂ (7x+3) - log₂ (5x-1) = log ₂ 3 - 1 |
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Question 9 Find the value of x log₅ (10+x) = log ₅ (3 + 4x) |
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Question 10 Find the value of x log₅ (5 log₃ x) = 2 |
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Question 11 Find the value of x log₃ √(10x + 5) - 1/2 = log₃ √(x + 1) |
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Question 12 Find the value of x log₂ x + log ₄ x + log₈ x = 11/6 |
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Question 13 Find the value of x log₃ x + log₉ x + log₈₁ x = 7/4 |
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Question 14 Find the value of x log (x + 1) + log (x - 1) = log 24 |
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Question 15 Find the value of x 2 log₅ 3 x log₉ x +1 = log₅ 3 |
solving logarithmic equations question4 solving logarithmic equations question4 |
solving logarithmic equations questions 4 solving logarithmic equations questions 4