## Properties of exponential form, Mathematics

Assignment Help:

Properties

1.   The domain of the logarithm function is (0, ∞ ) .  In other terms, we can just plug positive numbers into a logarithm! We can't plug in zero or a negative number.

2.    logb b = 1

3.    logb 1 = 0

4.    logb bx= x

5.    blogb= x

The final two properties will be especially useful into the next section.  Notice that these last two properties tell us that,

f( x ) = b x              and g( x ) = logb x

are inverses of each of other.

Following are some more properties which are useful in the manipulation of logarithms.

More Properties

6.   logbxy= logb  x + logb  y

7.   logb (x/y)=       logb  x - logb  y

8.   logb( xr) = r logb  x

Note as well that there is no equivalent property to the first two for sums & differences. In other terms,

logb( x + y ) ≠ logb  x + logb  y

logb(x - y ) ≠ logb  x - logb  y

#### Find the polynomial zeros , If two zeros of the polynomial f(x) = x 4 - 6x...

If two zeros of the polynomial f(x) = x 4 - 6x 3 - 26x 2 + 138x - 35 are 2 ± √3.Find the other zeros.     (Ans:7, -5) Ans : Let the two zeros are 2 +√3 and 2 - √3 Sum of

#### Derivatives, What are the ingredients of a Mathematical Model? What is a mo...

What are the ingredients of a Mathematical Model? What is a model?

#### Bivariate frequency., Change in origin and scale method

Change in origin and scale method

can you help me

#### Book 6b, one bathroom is 0.3m long how long is a row of 8 tiles

one bathroom is 0.3m long how long is a row of 8 tiles

#### Integral calculus, find the integral dx/1-x

find the integral dx/1-x

#### Constantinople byzance adrienople nicosia, What was the name of Istanbul be...

What was the name of Istanbul before its capture by the Turks? Constantinople Byzance Adrienople Nicosia

#### How to solve two-step equations, How to solve Two-Step Equations? Two-s...

How to solve Two-Step Equations? Two-step equations involve two math operations - one operation is addition or subtraction. The second operation is multiplication or division.

#### Christie paid 5% sales tax purchase how much did she spend, Christie purcha...

Christie purchased a scarf marked \$15.50 and gloves marked \$5.50. Both items were on sale for 20% off the marked price. Christie paid 5% sales tax on her purchase. How much did she

#### the system by graphing, Suppose you are in the market for a new home and a...

Suppose you are in the market for a new home and are interested in a new housing community under construction in a another city. a) The sales representative later shows that there  