If a,b >0 and c> a+b, then prove that lga + lgb < 2*lgc -2.

**Subject Computer Science Discrete Math**

If a,b >0 and c> a+b, then prove that lga + lgb < 2*lgc -2.

This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

lga+lgb ≤2*lgc -2 is equivalent with: lg(ab) ≤2*lgc -2 (according to property 1)

Moving further one step, this is equivalent to prove that:

2*lgc -lg(ab) ≥2 which is the same with lg(c^2) -lg(ab) ≥2 (property 3)...

Moving further one step, this is equivalent to prove that:

2*lgc -lg(ab) ≥2 which is the same with lg(c^2) -lg(ab) ≥2 (property 3)...

This is only a preview of the solution. Please use the purchase button to see the entire solution

Discrete Mathematics Problem

$10.00

Discrete Mathematics

Division Algorithm

Computer Science

Primes

Proof

Integers

10 Problems with Functions, Sets, Recurrence Relations, Modular Operations, and Equivalence

$75.00

Recurrence

Relation

Set

Operation

Function

One-to-one

Onto

Rule

Counterexample

Intersection

Union

Difference

Subset

Mod

Fibonacci

Sequence

Induction

Equivalence

Relation

Reflexive

Symmetric

Transitive

Class

Recurrence

Relation

Set

Operation

Function

One-to-one

Onto

Rule

Counterexample

Intersection

Union

Difference

Subset

Mod

Fibonacci

Sequence

Induction

Equivalence

Relation

Reflexive

Symmetric

Transitive

Class

Questions with Set Operations, Property of Algorithms, and Pigeon Principle

$15.00

MPD

Multiple

Personality

Disorder

Statement

Abused

Emotionally

Physically

Corner

Store

Stocks

Posicles

Gum

Candy

Bar

School

Children

Owner

Upset

How

Many

Choices

Molding

Buses

Empty

Seats

Refugees

Algorithm

Characteristics

Div

MPD

Multiple

Personality

Disorder

Statement

Abused

Emotionally

Physically

Corner

Store

Stocks

Posicles

Gum

Candy

Bar

School

Children

Owner

Upset

How

Many

Choices

Molding

Buses

Empty

Seats

Refugees

Algorithm

Characteristics

Div

Discrete Math Interesting Exercises - Base Conversion, RSA, Linear Congruences, Transposition Cipher

$50.00

RSA

Mod

Congruence

Chinese

Remainder

Theorem

Linear

Transposition

Cipher

ISBN

Block

Ciphertext

Permutation

Binary

RSA

Mod

Congruence

Chinese

Remainder

Theorem

Linear

Transposition

Cipher

ISBN

Block

Ciphertext

Permutation

Binary