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If abc=1 then the value of expression loga^b/logb^c logb^c/logc^a logc^a log a^b?
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If abc=1 then the value of expression loga^b/logb^c logb^c/logc^a logc...
Solution:


Step 1: Simplify the given expression


We have the expression:
loga^b/logb^c * logb^c/logc^a * logc^a

We can simplify the expression by using the following properties of logarithms:

loga^b = b*loga
logb^c = c*logb
logc^a = a*logc

Substituting these values in the given expression, we get:

b*loga / c*logb * c*logb / a*logc * a*logc

Simplifying, we get:

b/a

Step 2: Using the given condition abc = 1


We are given that abc = 1. Substituting this value in the expression we obtained in Step 1, we get:

b/a = b/(abc*c) = 1/(ac)

Therefore, the value of the expression loga^b/logb^c * logb^c/logc^a * logc^a is 1/(ac).

Final Answer:


The value of the expression loga^b/logb^c * logb^c/logc^a * logc^a log a^b is 1/(ac).
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If abc=1 then the value of expression loga^b/logb^c logb^c/logc^a logc^a log a^b?
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If abc=1 then the value of expression loga^b/logb^c logb^c/logc^a logc^a log a^b? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If abc=1 then the value of expression loga^b/logb^c logb^c/logc^a logc^a log a^b? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If abc=1 then the value of expression loga^b/logb^c logb^c/logc^a logc^a log a^b?.
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