\(a,\left(\dfrac{2}{3}\right)^x=\left(\dfrac{4}{9}\right)^4.\)
\(\left(\dfrac{2}{3}\right)^x=\left[\left(\dfrac{2}{3}\right)^2\right]^4.\)
\(\left(\dfrac{2}{3}\right)^x=\left(\dfrac{2}{3}\right)^8\Rightarrow x=8.\)
Vậy.....
\(b,\left(2x-1\right)^2=25.\)
\(\left(2x-1\right)^2=\left(\pm5\right)^2.\)
\(\Rightarrow\left(2x-1\right)=\pm5.\)
+) Xét \(2x-1=5\), ta có:
\(2x-1=5.\)
\(\Rightarrow2x=6.\)
\(\Rightarrow x=3.\)
+) Xét \(2x-1=-5\), ta có:
\(2x-1=-5.\)
\(\Rightarrow2x=-4.\)
\(\Rightarrow x=-2.\)
Vậy.....
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