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\(2^{x+2}-2^x=96\)
\(\Rightarrow2^x\cdot2^2-2^x=96\)
\(\Rightarrow2^x\left(2^2-1\right)=96\)
\(\Rightarrow2^x\left(4-1\right)=96\)
\(\Rightarrow2^x\cdot3=96\)
\(\Rightarrow2^x=96:3\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
\(5^x+5^{x+1}=750\)
\(\Rightarrow5^x+5^x\cdot5=750\)
\(\Rightarrow5^x\left(1+5\right)=750\)
\(\Rightarrow5^x\cdot6=750\)
\(\Rightarrow5^x=750:6\)
\(\Rightarrow5^x=125\)
\(\Rightarrow5^x=5^3\)
\(\Rightarrow x=3\)
\(2^{x+3}+2^x=144\)
\(\Rightarrow2^x\cdot2^3+2^x=144\)
\(\Rightarrow2^x\left(2^3+1\right)=144\)
\(\Rightarrow2^x\cdot9=144\)
\(\Rightarrow2^x=144:9\)
\(\Rightarrow2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
a,5x + 5x + 2 = 650
=> 5x+5x.52=650
=> 5x.(1+25)=650
=> 5x=52
=> x=2
3x - 1 + 5 . 3x - 1 = 162
3x-1.(1+5)=162
=> 3x-1=27
=> 3x-1=33
=> x-1=3
=> x=4
5 x + 5 x + 2 = 650 3x - 1 + 5 . 3x - 1 = 162
5 x( 1 + 5 2 ) = 650 3x - 1 ( 5 + 1 ) = 162
5 x = 25 3x - 1 = 27
\(\Rightarrow\)x = 2 \(\Rightarrow\)x - 1 = 3
\(\Rightarrow\)x = 4
a)\(2.3^x=162\)
\(\Rightarrow3^x=162:2\)
\(\Rightarrow3^x=81\)
\(\Rightarrow3^x=3^4\)
=> x = 4
b) \(\left(7x-11\right)^3=2^5.5^2+200\)
\(\Rightarrow\left(7x-11\right)^3=32.25+200\)
\(\Rightarrow\left(7x-11\right)^3=800+200\)
\(\Rightarrow\left(7x-11\right)^3=1000\)
=> Không tìm được số tự nhiên x.
a) 2 x 3x = 162
3x = 162 : 2
3x = 81
3x = 34
=> x = 4
b) (7x - 11)3 = 25 x 52 + 200
(7x - 11)3 = 32 x 25 + 200
(7x - 11)3 = 800 + 200
(7x - 11)3 = 1000
(7x - 11)3 = 103
=> 7x - 11 = 10
7x = 10 + 11
7x = 21
x = 21 : 7
x = 3
33 . 32x - 1 = 81
33 . 32x - 1 = 34
32x - 1 = 34 : 33 = 3
=> 2x - 1 = 1
2x = 2
x = 2 : 2 = 1
a)3x-1+5.3x-1=162
3x-1.1+5.3x-1=162
3x-1.(5+1)=162
3x-1.6=162
3x-1=162/6
3x-1=27
3x-1=33
Suy ra x-1=3
x=3+1=4
b)2x+3+2x=144
2x.8+2x=144
2x.8+2x.1=144
2x.(8+1)=144
2x.9=144
2x=144/9
2x=16
2x=24
Suy ra x=4