3x + 3x+3 = 756
=> 3x + 3x.33 = 756
=> 3x + 3x.27 = 756
=> 3x.(1 + 27) = 756
=> 3x.28 = 756
=> 3x = 756 : 28
=> 3x = 27 = 33
=> x = 3
5x+1 + 6.5x+1 = 875
=> 5x+1.(1 + 6) = 875
=> 5x+1.7 = 875
=> 5x+1 = 875 : 7
=> 5x+1 = 125 = 53
=> x + 1 = 3
=> x = 3 - 1
=> x = 2
a)
=> 3x(1+33)=756
=>3x=27=33
=>x=3
câu b tương tự
câu 1: x=3
câu 2: x=2
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1/ 3x + 3x+3 = 756
<=>3x(33 +1)=756
<=>3x.28=756
<=>3x=756/28=27
=> x=3
\(\Rightarrow\)\(3^x+3^x.3^3=756\)
3^x.(1+27)=756
3^x.28=756
3^x=27
3^2=27
\(\Rightarrow\)x=2
b) 5x+1 + 6 . 5x+1 = 875
5x+1 (1+6)=875
5x . 5.7=875
5^x .35 =857
5^x=25
5^2=25
\(\Rightarrow\)x=2
3x + 3x+3 = 3x * (1 + 33) = 3x * 28 = 756
suy ra 3x = 756 : 28 = 27 = 33
suy ra x = 3
\(3^x+3^{x+3}=756\)
\(\Rightarrow3^x+3^x.27=756\)
\(\Rightarrow3^x\left(1+27\right)=756\)
\(\Rightarrow3^x.28=756\)
\(\Rightarrow3^x=27\)
=> \(3^x=3^3\)
\(\Rightarrow x=3\)