a/
\(\left(1-3x\right)^3=\left(-4\right)^3\Leftrightarrow1-3x=-4\Leftrightarrow x=\frac{5}{3}\)
b/
\(\left(4-3x\right)^4=\left(4-3x\right)^2\Leftrightarrow\left(4-3x\right)^2\left[\left(4-3x\right)^2-1\right]=0\)
\(\Leftrightarrow\left(4-3x\right)^2\left(5-3x\right)\left(3-3x\right)=0\)
\(\Leftrightarrow3-3x=0\) hoặc \(4-3x=0\) hoặc \(5-3x=0\)
\(\Leftrightarrow x=1\) hoặc \(x=\frac{4}{3}\) hoặc \(x=\frac{5}{3}\)
c/
\(\frac{7^{x+2}+7^{x+1}+7^x}{57}=\frac{5^{2x}+5^{2x+1}+5^{2x+3}}{131}\)\(\Leftrightarrow\frac{49.7^x+7.7^x+7^x}{57}=\frac{5^{2x}+5.5^{2x}+125.5^{2x}}{131}\)
\(\Leftrightarrow7^x=5^{2x}\Leftrightarrow7^x=25^x\Leftrightarrow\left(\frac{7}{25}\right)^x=1=\left(\frac{7}{25}\right)^0\)
\(\Rightarrow x=0\)
\(\left(1-3x\right)^3=-64\)
=> \(1-3x=-4\)
=> \(-3x=-4+1\) (chuyển vế)
=> \(-3x=-3\Rightarrow x=-3:\left(-3\right)=1\)
Tìm x biết
a) (7^x-2+7^x-1+7)/57=(5^x+5^2x+1+5^2x+3)/131
b) (4x-3)^4=(4x-3)^2
