Logarithmic functions- general properties, Mathematics

Assignment Help:

Logarithmic functions have the following general properties

If y = loga x, a > 0 and a ≠1, then

  1. The domain of the function is the set of all positive real numbers and the range is the set of all real numbers.

  2. For base a > 1, the function is increasing and concave and for 0 < a < 1, the function is decreasing and convex.

  3. For all bases, y = 0, if x = 1

2188_general properties of logarithms.png


Related Discussions:- Logarithmic functions- general properties

Operation on polynomial, Perform the denoted operation for each of the foll...

Perform the denoted operation for each of the following.  (a) Add 6x 5 -10x 2 + x - 45 to 13x 2 - 9 x + 4 .   (b) Subtract 5x 3 - 9 x 2 + x - 3 from       x 2+ x +1.

Algebra, how to solve algebra

how to solve algebra

Solid, The lateral edge of a pyramidal church spire is 61feet.Each side of ...

The lateral edge of a pyramidal church spire is 61feet.Each side of its octagonal base is 22feet. What will be the cost of painting the spire at 2.5 cents a square foot

Understanding Logistics, How can i get a better understanding of logistics ...

How can i get a better understanding of logistics without having a degree on logistics and knowledge of it? Simply, in a very basic form..

Numerical Analysis, Hello there I have question about convergence of pth ...

Hello there I have question about convergence of pth root of square matrix? Do you have any expert in numerical analysis ?

2 step equations, What is a two step equation that equals 8 ?

What is a two step equation that equals 8 ?

Chain rule, Chain Rule :   If f(x) and g(x) are both differentiable func...

Chain Rule :   If f(x) and g(x) are both differentiable functions and we describe F(x) = (f. g)(x) so the derivative of F(x) is F′(x) = f ′(g(x)) g′(x).  Proof We will s

Statistics and probability, STATISTICS AND PROBABILITY : Statistics  ar...

STATISTICS AND PROBABILITY : Statistics  are the  only  tools  by  which  an  opening  can  be  cut  through  the formidable  thicket  of difficulties  that bars the  path  of

Fraction, sarah has 12 gel pen. she gave 3/4. how many she have

sarah has 12 gel pen. she gave 3/4. how many she have

Scalar multiplication - vector arithmetic, Scalar Multiplication - Vector a...

Scalar Multiplication - Vector arithmetic Another arithmetic operation that we wish to look at is scalar multiplication. Specified the vector a → = (a 1 , a 2 , a 3 ) and any

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd