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2+\log_{4}\left(4\right)+\log_{3}\left(\frac{1}{27}\right)=0
The base 6 logarithm of 36 is 2.
2+1+\log_{3}\left(\frac{1}{27}\right)=0
The base 4 logarithm of 4 is 1.
3+\log_{3}\left(\frac{1}{27}\right)=0
Add 2 and 1 to get 3.
3-3=0
The base 3 logarithm of \frac{1}{27} is -3.
0=0
Subtract 3 from 3 to get 0.
\text{true}
Compare 0 and 0.
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
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
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