Evaluate
1
Factor
1
Quiz
Arithmetic
5 problems similar to:
H ( M ) = - ( 0.5 \log _ { 2 } ( 0.5 ) + 0.5 \log _ { 2 } ( 0.5 ) )
Share
Copied to clipboard
-\left(0.5\left(-1\right)+0.5\log_{2}\left(0.5\right)\right)
The base 2 logarithm of 0.5 is -1.
-\left(-0.5+0.5\log_{2}\left(0.5\right)\right)
Multiply 0.5 and -1 to get -0.5.
-\left(-0.5+0.5\left(-1\right)\right)
The base 2 logarithm of 0.5 is -1.
-\left(-0.5-0.5\right)
Multiply 0.5 and -1 to get -0.5.
-\left(-1\right)
Subtract 0.5 from -0.5 to get -1.
1
The opposite of -1 is 1.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}