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

Pre Calculus 12, A radioactive substance decays to 30% of its original mass...

A radioactive substance decays to 30% of its original mass in 15 months. Determine the half-life of this radioactive substance to the nearest month

Factoring, how are polynomials be factored/?

how are polynomials be factored/?

Definition of natural exponential function, Definition of Natural exponenti...

Definition of Natural exponential function:   The natural exponential function is f( x ) = e x   where, e= 2.71828182845905........ . Hence, since e > 1 we also know that e x

Find the maxima and minima - equal pi, 1) Find the maxima and minima of f(x...

1) Find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1 2) Compute the work done by the force ?eld F(x,y,z) = x^2I + y j +y k in moving

Standard deviation, i need to work out the standard deviation of 21.4

i need to work out the standard deviation of 21.4

Reason why we start division, Reasons why we start division : The reason w...

Reasons why we start division : The reason we start division by considering the digit in the leftmost place is efficiency and ease . For instance, suppose we divide 417 by 3, we

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