Tìm x biết :
\(2\times3^x=10\times3^{12}+8\times27^4\)
Những câu hỏi liên quan
M=\(\frac{9^4\times27^5\times3^6\times3^4}{3^8\times81^4\times243\times8^2}\)
N=4\(\frac{4^6\times9^5\times6^9\times120}{8^4\times3^{12}-6^{11}}\)
M=\(\frac{9^4\times27^5\times3^6\times3^4}{3^8\times81^4\times243\times8^2}\)
Các bạn ơi ,giúp mình vớiBài 1:Rút gọna)frac{2^{19}times27^3+15times4^9times9^4}{6^9times2^{10}+12^{10}}b)frac{left(frac{-1}{2}right)^3-left(frac{3}{4}right)^3timesleft(-2right)^2}{2timesleft(-1right)^5+left(frac{3}{4}right)^2-frac{3}{8}}c)frac{45times9^4-2times6^4}{2^{19}times3^8+6^8times20}Bài 2:Tìm xa)5^x+5^{x+2}650b)3^{x-1}+5times3162
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Các bạn ơi ,giúp mình với
Bài 1:Rút gọn
a)\(\frac{2^{19}\times27^3+15\times4^9\times9^4}{6^9\times2^{10}+12^{10}}\)
b)\(\frac{\left(\frac{-1}{2}\right)^3-\left(\frac{3}{4}\right)^3\times\left(-2\right)^2}{2\times\left(-1\right)^5+\left(\frac{3}{4}\right)^2-\frac{3}{8}}\)
c)\(\frac{45\times9^4-2\times6^4}{2^{19}\times3^8+6^8\times20}\)
Bài 2:Tìm x
a)\(5^x+5^{x+2}=650\)
b)\(3^{x-1}+5\times3=162\)
a. frac{3^2times64^2-12^2times16^2times19+51times33}{3+6+9+...+96+99}b. frac{6^3times9^7times4^3-16^2times81^4}{left(24times3right)^2}c. frac{21times5^{21}times5^8-25^{13}}{left(4times5^{14}right)^2}d. frac{81^4times3^{10}times27^5div3^{12}}{9^9div9^3times243^3}e. frac{18^6div2^{11}div9^3times4^3}{32^2div6^9times3^6}
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a. \(\frac{3^2\times64^2-12^2\times16^2\times19+51\times33}{3+6+9+...+96+99}\)
b. \(\frac{6^3\times9^7\times4^3-16^2\times81^4}{\left(24\times3\right)^2}\)
c. \(\frac{21\times5^{21}\times5^8-25^{13}}{\left(4\times5^{14}\right)^2}\)
d. \(\frac{81^4\times3^{10}\times27^5\div3^{12}}{9^9\div9^3\times243^3}\)
e. \(\frac{18^6\div2^{11}\div9^3\times4^3}{32^2\div6^9\times3^6}\)
Tìm x:
a,\(3^{x^2+5}-9^{14}\times27^{23}\times3^{29}=0\)
b,\(10^{x+1}-9\times10^x+10\times10^{x-3}=0,099\)
Tính nhanh
a) \(2\times14\times12+4\times6\times21+8\times3\times62\)
b) \(37\times24+76\times37+63\times79+21\times63\)
c) \(3\times21\times2\times6+4\times6\times42+8\times27\times3\)
a, 2 x 14 x 12 + 4 x 6 x 21 + 8 x 3 x 62
= 24 x 14 + 24 x 21 + 24 x 62
= 24 x ( 14 + 21 + 62 )
= 24 x 97
= 21 x ( 97 + 3 )
= 21 x 100
= 2100
b, và c, ( Tương tự câu a, )
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\(E=\dfrac{5\times4^{15}\times9^9-4\times3^{20}\times8^9}{5\times2^{10}\times6^{19}-7\times2^{29}\times27^6}\)
\(\dfrac{5\times4^{15}\times9^9-4\times3^{20}\times8^9}{5\times2^{10}\times6^{19}-7\times2^{29}\times27^6}\\ =\dfrac{5\times2^{30}\times3^{18}-2^2\times3^{20}\times2^{27}}{5\times2^{10}\times3^{19}\times2^{19}-7\times2^{29}\times3^{18}}\\ =\dfrac{5\times2^{30}\times3^{18}-2^{29}\times3^{20}}{5\times2^{29}\times3^{19}-7\times2^{29}\times3^{18}}\\ =\dfrac{2^{29}\times3^{18}\times\left(5\times2-3^2\right)}{2^{29}\times3^{18}\times\left(5\times3-7\right)}\\ =\dfrac{10-9}{15-7}\\ =\dfrac{1}{8}\)
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Tìm số nguyên n ,biết:
a,\(5^{-1}\times25^n=125\)
b,\(3^{-1}\times3^n+6\times3^{n-1}=7\times3^6\)
c,\(3^4<\frac{1}{9}\times27^n<3^{10}\)
d,\(25<5^n:5<625\)
25<5^n:5<625
=>5^2<5^n-1<5^4
=>2<n-1<4
=>n-1=3
=>n=4
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a. \(\Rightarrow5^{-1}.5^{2n}=5^3\)
\(\Rightarrow5^{2n-1}=5^3\)
=> 2n-1=3
=> 2n=4
=> n=2
b. \(\Rightarrow3^{n-1}+6.3^{n-1}=7.3^6\)
\(\Rightarrow\left(1+6\right).3^{n-1}=7.3^6\)
\(\Rightarrow7.3^{n-1}=7.3^6\)
=> n-1=6
=> n=7
c. \(\Rightarrow3^4<3^{-2}.3^{3n}<3^{10}\)
\(\Rightarrow3^4<3^{3n-2}<3^{10}\)
\(\Rightarrow3n-2\in\left\{5;6;7;8;9\right\}\)
\(\Rightarrow3n\in\left\{7;8;9;10;11\right\}\)
\(\text{Mà n là số nguyên}\Rightarrow n=3\).
d. \(\Rightarrow5^2<5^{n-1}<5^4\)
\(\Rightarrow n-1=3\)
\(\Rightarrow n=4\).
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Tìm x, y thuộc N, biết:
a/ \(3^{x-1}+5\times3^{x-1}=165\)
b/ \(2^{x+1}\times3^y=12^x\)
c/\(10^x\div5^y=20^y\)
d/\(2^x\div4^{y-1}và27^y=3^{x+8}\)