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\(5^x+5^{x+2}=650;5^x.26=650;5^x=25;x=2\)
\(2^x+2^{x+3}=144;2^x.9=144;2^x=16;x=4\)
\(3^{x-1}+5.3^{x-1}=162;3^{x-1}.6=162;3^{x-1}=27;x=4\)
\(\left(x-5\right)^4=\left(x-5\right)^6\)
\(\rightarrow x-5=0\&x-5=1\) hoặc x - 5 = - 1
\(x-5=1;x=6;x-5=0;x=5;x-5=-1;x=4\)
\(\left(2^2:4\right).2^n=4;2^n=2^2;n=2\)
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a. (x-1).(y+1)=3
<=> x-1=3 hoặc y+1=3
<=> x=4 hoặc x=2
Tượng tự như mấy câu còn lại nhé!
,
a/ TH1: x-1=3=> x=4
TH2: y+1=3=>y=2
Vậy x=4 hoặc y=2
b/ TH1: x+1=5=>x=4
TH2:y-7=5=> y= 12
Vậy x=4 hoặc y=12
c/TH1: x+2=-2=>x=-4
Th2: y+1= -2=> y=-3
Vậy x=-4 hoặc y=-3
d/ TH1:x-3=6=>x=9
Th2: y+2=6=>y=4
Vậy x=9 hoặc y=4
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\(\Rightarrow\)\(\frac{2}{6}\)+ \(\frac{2}{12}\)+ \(\frac{2}{20}\)+...+\(\frac{2}{x\left(x+1\right)}\)= \(\frac{2011}{2013}\)
\(\Rightarrow\)\(\frac{2}{2.3}\)+ \(\frac{2}{3.4}\)+ \(\frac{2}{4.5}\)+...+ \(\frac{2}{x\left(x+1\right)}\)= \(\frac{2011}{2013}\)
\(\Rightarrow\)\(\frac{1}{2}\)- \(\frac{1}{3}\)+ \(\frac{1}{3}\)- \(\frac{1}{4}\)+...+ \(\frac{1}{x}\)- \(\frac{1}{x+1}\)= \(\frac{2011}{2013}\): 2
\(\Rightarrow\)\(\frac{1}{2}\)- \(\frac{1}{x+1}\)= \(\frac{2011}{4026}\)
\(\Rightarrow\)\(\frac{1}{x+1}\)= \(\frac{1}{2}\)- \(\frac{2011}{4026}\)= \(\frac{1}{2013}\)
\(\Rightarrow\)\(x+1=2013\)
cho .... là x
=>1+3+5+x+x=165
=>9+x+x=165
=>9+2x=165
=>2x=165−9
=>2x=156
=>x=78