Example

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

Question

$$\frac { \log _ { 3 } 2 - \log _ { 8 } } { \log _ { 4 } }$$

Answer

$$-5*Si*e*log(2)*m^2*p*l^2*f*y*t^2*o*r*h*sin(g)*log(a)-log(84)$$

Solution


Use Power Rule: \(\log_{b}{{x}^{c}}=c\log_{b}{x}\)\(\log{32}\) -> \(\log{{2}^{5}}\) -> \(5\log{2}\).
\[Simpl\imath fyto(\sin{g})le(\log{a})r\imath thm\times 5\log{2}-\log{84}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[Si{m}^{2}p{l}^{2}{\imath }^{2}fy{t}^{2}o(\sin{g})e(\log{a})rh\times 5\log{2}-\log{84}\]
Use Square Rule: \({i}^{2}=-1\).
\[Si{m}^{2}p{l}^{2}\times -1\times fy{t}^{2}o(\sin{g})e(\log{a})rh\times 5\log{2}-\log{84}\]
Simplify  \(Si{m}^{2}p{l}^{2}\times -1\times fy{t}^{2}o(\sin{g})e(\log{a})rh\times 5\log{2}\)  to  \(-5{m}^{2}p{l}^{2}fy{t}^{2}orhSi(\sin{g})e\log{a}\log{2}\).
\[-5{m}^{2}p{l}^{2}fy{t}^{2}orhSi(\sin{g})e\log{a}\log{2}-\log{84}\]
Regroup terms.
\[-5Sie\log{2}{m}^{2}p{l}^{2}fy{t}^{2}orh\sin{g}\log{a}-\log{84}\]
[email protected]
Privacy Policy | Terms & Conditions
Contact Us