Factor
\frac{\ln(y)+6\ln(x)}{2}
Evaluate
\frac{\ln(y)}{2}+3\ln(x)
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\frac{6\log_{e}\left(x\right)+\log_{e}\left(y\right)}{2}
Factor out \frac{1}{2}.
\frac{6\ln(x)+\ln(y)}{\ln(e)}
Consider 6\ln(x)\times \frac{1}{\ln(e)}+\ln(y)\times \frac{1}{\ln(e)}. Factor out \frac{1}{\ln(e)}.
\frac{6\ln(x)+\ln(y)}{2\ln(e)}
Rewrite the complete factored expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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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