Tìm x , biết: (3/2)^3.x = (3/2)^5
Giải thích
1) \[{\left( {\frac{3}{2}} \right)^3}.x = {\left( {\frac{3}{2}} \right)^5}\]
\[x = {\left( {\frac{3}{2}} \right)^5}:{\left( {\frac{3}{2}} \right)^3}\]
\[x = {\left( {\frac{3}{2}} \right)^2}\]
\[x = \frac{9}{4}\]
2) \[\frac{1}{2} - x = \frac{3}{4}\]
\(x = \frac{1}{2} - \frac{3}{4}\)
\(x = \frac{2}{4} - \frac{3}{4}\)
\(x = \frac{{ - 1}}{4}\)
3) \[{\left( {x - 0,3} \right)^2} = 9\]
\[{\left( {x - 0,3} \right)^2} = {3^2}\] hoặc \[{\left( {x - 0,3} \right)^2} = {( - 3)^2}\]
\(x - 0,3 = 3\) hoặc \(x - 0,3 = - 3\)
\(x = 3,3\) hoặc \[x = - 2,7\]
4) \[\frac{{ - 27}}{8}:x = {\left( {\frac{3}{2}} \right)^3}\]
\[\frac{{ - 27}}{8}:x = \frac{{27}}{8}\]
\[x = \frac{{ - 27}}{8}:\frac{{27}}{8}\]
\[x = - 1\]