Arrange ` log_(2) 5, log_(0.5) 5, log_(7) 5, log_(3) 5` in decreasing order.

Explanation

` log_(2) 5 ` = exponent of 2 for which we get 5
` log_(7) 5 ` = exponent of 7 for which we get 5
Clearly, ` log_(2) 5 gt log_(7) 5`
With similar reasons, we have ` log_(2) 5 gt log_(3) 5 gt log_(7) 5`.
Also ` log_(0.5) 5 lt 0`
`:. log_(2) 5 gt log_(3) 5 gt log_(7) 5 gt log_(0.5) 5`