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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 = 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
if tan theta =1,find the value of sin4 theta + cos4 theta
1. A survey line on campus is measured to be 1000.00 ft long on horizontal ground. The elevation of the line is 700.00 feet and the geoid separation from ellipsoid to geoid is -110
cos inverse x -cos inverse 2x=pie\2
Verify Liouville''s formula for y^ prime prime prime -y^ prime prime - y'' + y = 0 in [0, 1]
01010011 01100101 01101101 01110000 01100101 01110010 00100000 01000110 01101001 00100001
3x3
matrix of [1 4 ] [a b]=4/9
need help
Integration variable : The next topic which we have to discuss here is the integration variable utilized in the integral. In fact there isn't actually a lot to discuss here other
Describe Visualize Solutions of Simultaneous Equations ? By drawing the graph of each equation in a system of equations, you can see a picture of the system's solutions. Fo
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