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