Change of base formula - logarithms, Algebra

Assignment Help:

The last topic that we have to discuss in this section is the change of base formula.

Most of the calculators these days are able of evaluating common logarithms & natural logarithms. Though, that is regarding it, so what do we do if we have to evaluate another logarithm which can't be done simply

In order to do this we have the change of base formula.  Following is the change of base formula.

                       log a x = logb  x / logb  a

Where we can select b to be anything we desire it to be. To use this to help us evaluate logarithms it is usually the common or natural logarithm.  Following is the change of base formula by using both the common logarithm & the natural logarithm.

loga x = log x / log a                         loga x = ln x / ln a


Related Discussions:- Change of base formula - logarithms

Equations and inequalities problem solving, 1.Ms. Nioka and seven of her fr...

1.Ms. Nioka and seven of her friends went out to eat. They decided to split the bill evenly. each person paid $8.73. What was the total bill.

One-to-one function, A function is called one-to-one if no two values of x ...

A function is called one-to-one if no two values of x produce the same y. It is a fairly simple definition of one-to-one although it takes an instance of a function which isn't one

Graphing linear equations, what is the answer to y is greater than 3x-l and...

what is the answer to y is greater than 3x-l and y is less than x+2

Kenneth, brody rode his bike 70 miles in 4 hours. he rode at an average spe...

brody rode his bike 70 miles in 4 hours. he rode at an average speed of 17 mph for t hours and at an average rate of speed of 22 mph for the rest of the time. how long did brody ri

Equations, What type of equation is used if a ball is thrown upward 1.63 me...

What type of equation is used if a ball is thrown upward 1.63 meters off the ground and it reaches 3.34 meters in height at 0.6 seconds before falling to the ground?

Solving quadratic equation using extracting square root, a 9f2 square paint...

a 9f2 square painting is mounted with border on a square frame. if the total area of the border is 3.25 ft2, what is the length of a side of the frame?

Frank, Have a % 56% discount have the amount of 285.13 what was the amoun...

Have a % 56% discount have the amount of 285.13 what was the amount used to get to 285.13? How did you get?

Common graphs, We desire to look at the graph of quadratic function. The mo...

We desire to look at the graph of quadratic function. The most general form of a quadratic function is,                                                       f (x ) = ax 2 + bx

Word problem, Susan wants to mix 10 pounds of Virginia Peanuts that cost $...

Susan wants to mix 10 pounds of Virginia Peanuts that cost $3.50 a pound with Spanish peanuts that cost $3.00 a pound to obtain a mixture that cost $3.40 a pound. How many pounds

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