Evaluate
4
Factor
2^{2}
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\frac{1}{2}+\log_{4}\left(32\right)-\log_{4}\left(0.25\right)
The base 4 logarithm of 2 is \frac{1}{2}.
\frac{1}{2}+\frac{5}{2}-\log_{4}\left(0.25\right)
The base 4 logarithm of 32 is \frac{5}{2}.
3-\log_{4}\left(0.25\right)
Add \frac{1}{2} and \frac{5}{2} to get 3.
3-\left(-1\right)
The base 4 logarithm of 0.25 is -1.
3+1
The opposite of -1 is 1.
4
Add 3 and 1 to get 4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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}