Factor
\frac{\ln(b)+2\ln(a)}{2}
Evaluate
\frac{\ln(b)}{2}+\ln(a)
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\frac{2\log_{e}\left(a\right)+\log_{e}\left(b\right)}{2}
Factor out \frac{1}{2}.
\frac{2\ln(a)+\ln(b)}{\ln(e)}
Consider 2\ln(a)\times \frac{1}{\ln(e)}+\ln(b)\times \frac{1}{\ln(e)}. Factor out \frac{1}{\ln(e)}.
\frac{2\ln(a)+\ln(b)}{2\ln(e)}
Rewrite the complete factored expression.
Examples
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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
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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