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

Derive the probability distribution of the completion times, Derive the pro...

Derive the probability distribution of the completion times: a. The following probability distributions relate to the completion times, in weeks, T A and T B of two independ

Find out the volume of the solid -x = (y - 2)2, Find out the volume of th...

Find out the volume of the solid obtained by rotating the region bounded by x =  (y - 2) 2 and  y = x around the line y = -1. Solution : We have to first get the intersection

Exponents, i need help with exponents and how to add them

i need help with exponents and how to add them

What is the radius of the traffic circle, In traveling three-fourths of the...

In traveling three-fourths of the way around a traffic circle a car travels 0.228 mi.  What is the radius of the traffic circle? The radius of the traffic circle is ____ mi.

Discrete mathmatics, give an example of a relation R that is transitive whi...

give an example of a relation R that is transitive while inverse of R is not

Find the 20th term of arithmetic progressions, Find the 20 th term from th...

Find the 20 th term from the end of the AP 3, 8, 13........253. Ans:    3, 8, 13 .............. 253 Last term = 253 a20 from end = l - (n-1)d 253 - ( 20-1) 5 253

Trigonometry identity, if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx...

if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx*siny*sinz=2

Karatsubas algorithm, Consider the following two polynomials in F 17 [x] ...

Consider the following two polynomials in F 17 [x]   (a) Use Karatsuba's algorithm, by hand, to multiply these two polynomials. (b) Use the FFT algorithm, by hand, to

Simplify Radicals, Can I have simplify radicals for Alebgera 2

Can I have simplify radicals for Alebgera 2

Linear algebra, i have question like proof, can you please help me on it?

i have question like proof, can you please help me on it?

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