Tìm x
\(\frac{2^{4-x}}{16^5}=32^6\)
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\(\frac{2^{4-x}}{16^5}=32^6\)
=> \(\frac{2^{4-x}}{\left(2^4\right)^5}=\left(2^5\right)^6\)
=> \(\frac{2^{4-x}}{2^{20}}=2^{30}\)
=> \(2^{4-x}=2^{30}.2^{20}\)
=> \(2^{4-x}=2^{50}\)
=> 4 - x = 50
=> x = 4 - 50 = -46
\(\frac{3^{2x+3}}{9^3}=9^{14}\)
=> \(\frac{3^{2x+3}}{\left(3^2\right)^3}=\left(3^2\right)^{14}\)
=> \(\frac{3^{2x+3}}{3^6}=3^{28}\)
=> \(3^{2x+3}=3^{28}.3^6\)
=> \(3^{2x+3}=3^{34}\)
=> 2x + 3 = 34
=> 2x = 34 - 3
=> 2x = 31
=> x = 31/2
\(\frac{2^{4-x}}{16^5}=32^6\)
\(\Rightarrow\frac{2^{4-x}}{\left(2^4\right)^5}=\left(2^5\right)^6\)
\(\Rightarrow\frac{2^{4-x}}{2^{20}}=2^{30}\)
\(\Rightarrow2^{4-x}=2^{30}.2^{20}\)
\(\Rightarrow2^{4-x}=2^{50}\)
\(\Rightarrow4-x=50\)
\(\Rightarrow x=-46\)
3/2+5/4+9/8/+17/16+33/32-6+x-1/x+1=31/32-2/2015
=(1+1/2)+(1+1/4)+(1+1/8)+(1+1/16)+(1+1/32-6+x-1/x+1=31/32-2/2015
=(1/2+1/4+1/8+1/16+1/32)+(1+1+1+1+1)-6+x-1/x+1=31/32-2/2015
=31/32+5-6+x-1/x+1=31/32-2/2015
=5-6+x-1/x+1=31/32-2/2015-31/32
=-1+x-1/x+1=-2/2015
=x-1/x+1=-2/2015- -1
=x-1/x+1=2013/2015
=>x=2014
x + 5 x 2 - ( 32 + 16 x 3 : 6 - 15 ) = 0
x + 5 x 2 - 25 = 0
x + 5 x 2 = 0 + 25
x + 5 x 2 = 25
x + 10 = 25
x = 25 - 10
x = 15
a) \(\frac{24-x}{16^5}=32^6\)
=> 24 - x = 326.165
<=> 24 - x = (25)6 . (24)5
<=> 24 - x = 230 . 220
<=> 24 - x = 250
<=> x = 24 - 250
b) (-2)x = -46.85
<=> (-2)x = -(22)6.(23)5
<=> (-2)x = -212.215
<=> (-2)x = -227
<=> (-2)x = (-2)27
<=> x = 27
Vậy x = 27
d) \(2^x=\frac{2^8}{4^4}\)
<=> \(2^x=\frac{2^8}{\left(2^2\right)^4}\)
<=> \(2^x=\frac{2^8}{2^8}\)
<=> 2x = 1 <=> x = 0
a.
\(\frac{24-x}{16^5}=32^6\)
( 24 - x ) : 165 = 326
24 - x = 326 . 165
24 - x = ( 16 )2.6 . 165
24 - x = 1612 . 165
24 - x = 1612 + 5
24 - x = 1617
x = 24 - 1617
Vậy x = 24 - 1617
b.
( - 2 )x = - 46 . 85
( - 2 )x = - 46 . ( - 4 ) - 2 . 5
( - 2 )x = - 46 . ( - 4 )- 10
( - 2 )x = - 4 6 + ( - 10 )
( - 2 )x = - 4-4
( - 2 )x = ( - 2 )-2 . ( - 4 )
( - 2 )x = ( - 2 )8
=> x = 8
Vậy x = 8
a) 32.x+2=1342176728
32.x=134217728-2
32.x=134217726
x=134217726:32
x=4194303,938
a) \(\frac{5^5}{5^x}=5^{18}\)
\(\Rightarrow5^x=5^{18}:5^5\)
\(\Rightarrow5^x=5^{13}\)
\(\Rightarrow x=13\)
Vậy \(x=13.\)
b) \(\frac{2^{4-x}}{16^5}=32^6\)
\(\Rightarrow2^{4-x}=32^6.16^5\)
\(\Rightarrow2^{4-x}=\left(2^5\right)^6.\left(2^4\right)^5\)
\(\Rightarrow2^{4-x}=2^{30}.2^{20}\)
\(\Rightarrow2^{4-x}=2^{50}\)
\(\Rightarrow4-x=50\)
\(\Rightarrow x=4-50\)
\(\Rightarrow x=-46\)
Vậy \(x=-46.\)
Chúc bạn học tốt!
\(\frac{2^{4-x}}{16^5}=32^6\)
\(\Leftrightarrow\)\(2^{4-x}=32^6\times16^5\)
\(\Leftrightarrow\)\(2^{4-x}=\left(2^5\right)^6\times\left(2^4\right)^5\)
\(\Leftrightarrow\)\(2^{4-x}=2^{30}\times2^{20}\)
\(\Leftrightarrow\)\(2^{4-x}=2^{50}\)
\(\Leftrightarrow\)\(4-x=50\)
\(\Leftrightarrow\)\(x=4-50\)
\(\Leftrightarrow\)\(x=-46\)