Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\left. \begin{array} { l } { + \log _ { 0 , 5 } 60 x } \\ { 2005 x } \\ { 08 , 80 } \end{array} \right.$$

Answer

$$200508*Mo*e^3*IM*d^2*l^3*a^2*c*h^2*o^4*f^3*t*w*n^2*g,880$$

Solution


Regroup terms.
\[200508ddlllaachhooooffftwnngMoeee\imath ,880\]
Simplify  \(200508ddlllaachhooooffftwnngMoeee\imath \)  to  \(200508{d}^{2}{l}^{3}{a}^{2}c{h}^{2}{o}^{4}{f}^{3}tw{n}^{2}gMoeee\imath \).
\[200508{d}^{2}{l}^{3}{a}^{2}c{h}^{2}{o}^{4}{f}^{3}tw{n}^{2}gMoeee\imath ,880\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[200508{d}^{2}{l}^{3}{a}^{2}c{h}^{2}{o}^{4}{f}^{3}tw{n}^{2}gMo{e}^{3}\imath ,880\]
Regroup terms.
\[200508Mo{e}^{3}\imath {d}^{2}{l}^{3}{a}^{2}c{h}^{2}{o}^{4}{f}^{3}tw{n}^{2}g,880\]
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