Mystery log!

Algebra Level 3

Log x to the base 5 is less than Log x to the base 25. Find the no. of natural values of x such that x is greater than or equal to 5 and less than or equal to 5^4.

621 619 No value 620

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1 solution

Abir Rahman
Feb 12, 2015

Log x to the base 5 is less than Log x to the base 25 is not possible according to the definition of Log. Actually the result of Log x to the base 5 or 25 means, "what should be the power of 5 or 25 to make it equal to x. For example, Let, X=25 Then, Log 25 to the base 5 is equal to 2 And log 25 to the base 25 is equal to 1.

Its true for x € (0,1)

Rohit Ashiwal - 4 years, 7 months ago

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