Factor
\frac{\log_{10}\left(e\right)\left(\ln(x+1)+6\ln(x)\right)}{2}
Evaluate
\frac{\log(e)\left(\ln(x+1)+6\ln(x)\right)}{2}
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\frac{6\log_{10}\left(x\right)+\log_{10}\left(x+1\right)}{2}
Factor out \frac{1}{2}.
\frac{6\ln(x)+\ln(x+1)}{\ln(10)}
Consider 6\ln(x)\times \frac{1}{\ln(10)}+\ln(x+1)\times \frac{1}{\ln(10)}. Factor out \frac{1}{\ln(10)}.
\frac{6\ln(x)+\ln(x+1)}{2\ln(10)}
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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Matrix
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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
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Limits
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