inequations

Can someone pls explain this .If possible with examples

If af(x)>b
(1)then if b>0
1)we have f(x)>logab if a>1
2)f(x)<logab if 0<a<1
(2)for a=1 , b<1

1 Answers

71
Vivek @ Born this Way ·

1) for a number say k > 1, raising to any power will increase its value.

eg. (2)2 = 4

but for any number say 0<k'<1 , raising to power will decrease its value.

Eg. (.2)2 = .04

This is the concept in the above thing.

2.) You're taking a = 1. So whatever Real power does a have, it's value will always remain 1.

Eg. 110000 = 1

And since by condition af(x)>b => 1>b.

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