Tìm x , biết :
a.\((\dfrac{-3}{4})^{3x-1}=\dfrac{256}{81}\)
Những câu hỏi liên quan
tìm x biết:
a) \(5^x.\left(5^3\right)^2=625\)
b)\(\left(\dfrac{12}{15}\right)^x=\left(\dfrac{5}{3}\right)^{-5}-\left(-\dfrac{3}{5}\right)^4\)
c)\(\left(-\dfrac{3}{4}\right)^{3x-1}=\dfrac{256}{81}\)
d)\(172x^2-7^9:98^3=2^{-3}\)
tìm x:
\(a,5^x.\left(5^2\right)^3=625\)
\(b,\left(\dfrac{12}{15}\right)^x=\left(\dfrac{5}{4}\right)^{-2}-\left(\dfrac{-3}{5}\right)^4\)
\(c,\left(\dfrac{-3}{4}\right)^{3x-1}=\dfrac{256}{81}\)
\(d,172x^2-7^9:98^3=2^{-3}\)
(\(\dfrac{-3}{4}\))3x - 1 = \(\dfrac{256}{81}\)
Có thể chia ra 2 trường hợp
\(\left(\dfrac{-3}{4}\right)^{3x-1}=\dfrac{256}{81}\)
\(\Rightarrow\left(\dfrac{-3}{4}\right)^{3x-1}=\left(\dfrac{4}{3}\right)^4\)
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\(\left(-\dfrac{3}{4}\right)3x-1=\dfrac{256}{81}\)
\(-\dfrac{9}{4}\cdot x=\dfrac{337}{81}\)
\(x=\dfrac{337}{81}\cdot-\dfrac{4}{9}\)
\(x=-\dfrac{1348}{729}\)
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Sửa đề:
(-3/4)³ˣ⁻¹ = 81/256
(-3/4)³ˣ⁻¹ = (-3/4)⁴
3x - 1 = 4
3x = 4 + 1
3x = 5
x = 5/3
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Tìm x biết:
a) dfrac{-32}{left(-2right)^x}4 f) left(3x-1right)^3dfrac{-8}{27}
b) left(dfrac{1}{2}right)^{2x-1}dfrac{1}{8} g) left(2x+3right)^2dfrac{9}{121}
c) dfrac{1}{9}.27^x3^x h) 5^x+5^{x+2}650
d) 9^x:3^3dfrac{1}{243} i) left(x-7right)^{x+1}-left(x-7right)0
e) dfrac{x7}{81}27...
Đọc tiếp
Tìm x biết:
a) \(\dfrac{-32}{\left(-2\right)^x}=4\) f) \(\left(3x-1\right)^3=\dfrac{-8}{27}\)
b) \(\left(\dfrac{1}{2}\right)^{2x-1}=\dfrac{1}{8}\) g) \(\left(2x+3\right)^2=\dfrac{9}{121}\)
c) \(\dfrac{1}{9}.27^x=3^x\) h) \(5^x+5^{x+2}=650\)
d) \(9^x:3^3=\dfrac{1}{243}\) i) \(\left(x-7\right)^{x+1}-\left(x-7\right)=0\)
e) \(\dfrac{x7}{81}=27\) m) \(\left(\dfrac{-3}{4}\right)^{3x-1}=\dfrac{256}{81}\)
h) \(5^x+5^{x+2}=650\)
\(\Leftrightarrow5^x+5^x.5^2=650\)
\(\Leftrightarrow5^x\left(1+25\right)=650\)
\(\Leftrightarrow5^x.26=650\)
\(\Leftrightarrow5^x=25\)
\(\Leftrightarrow x=2\)
haizzz,đăng ít thôi,chứ nhìn hoa mắt quá =.=
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Tìm x, biết:
a) \(\left(-\dfrac{1}{3}\right)^3\) .x = \(\dfrac{1}{81}\)
b) 22 . 16 >2x > 42
c) 9.27 < 3x < 243
Lời giải:
a.
$(\frac{-1}{3})^3.x=\frac{1}{81}=(\frac{-1}{3})^4$
$\Rightarrow x=(\frac{-1}{3})^4: (\frac{-1}{3})^3=\frac{-1}{3}$
b.
$2^2.16> 2^x> 4^2$
$\Rightarrow 2^2.2^4> 2^x> (2^2)^2$
$\Rightarrow 2^6> 2^x> 2^4$
$\Rightarrow 6> x> 4$
$\Rightarrow x=5$ (với điều kiện $x$ là số tự nhiên nhé)
c.
$9.27< 3^x< 243$
$3.3^3< 3^x< 3^5$
$\Rightarrow 3^4< 3^x< 3^5$
$\Rightarrow 4< x< 5$
Với $x$ là stn thì không có số nào thỏa mãn.
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Tìm x:
a/\(\left(\dfrac{12}{25}\right)^x\)=\(\left(\dfrac{3}{5}\right)^2-\left(-\dfrac{3}{5}\right)^4\)
b/\(\left(-\dfrac{3}{4}\right)^{3x-1}=\dfrac{256}{81}\)
c/172\(x^2-7^9:98^3=2^{-3}\)
a: \(\Leftrightarrow\left(\dfrac{12}{25}\right)^x=\dfrac{9}{25}-\dfrac{81}{625}=\dfrac{144}{625}\)
=>x=2
b: =>3x-1=-4
=>3x=-3
hay x=-1
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giải các phương trình sau
a) \(2^{x^2-1}=256\)
b) \(3^{x^2+3x}=81\)
c) \(2^{x^2-5x}=64\)
d) \(\left(\dfrac{1}{3}\right)^x=243\)
e) \(\left(\dfrac{1}{3}\right)^{x+5}=3^{2x+1}\)
a: \(2^{x^2-1}=256\)
=>\(2^{x^2-1}=2^8\)
=>\(x^2-1=8\)
=>\(x^2=9\)
=>\(x\in\left\{3;-3\right\}\)
b: \(3^{x^2+3x}=81\)
=>\(3^{x^2+3x}=3^4\)
=>\(x^2+3x=4\)
=>\(x^2+3x-4=0\)
=>(x+4)(x-1)=0
=>\(\left[{}\begin{matrix}x+4=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-4\\x=1\end{matrix}\right.\)
c: \(2^{x^2-5x}=64\)
=>\(2^{x^2-5x}=2^6\)
=>\(x^2-5x=6\)
=>\(x^2-5x-6=0\)
=>(x-6)(x+1)=0
=>\(\left[{}\begin{matrix}x-6=0\\x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=6\\x=-1\end{matrix}\right.\)
d: \(\left(\dfrac{1}{3}\right)^x=243\)
=>\(\left(\dfrac{1}{3}\right)^x=3^5=\left(\dfrac{1}{3}\right)^{-5}\)
=>x=-5
e: \(\left(\dfrac{1}{3}\right)^{x+5}=3^{2x+1}\)
=>\(3^{-x-5}=3^{2x+1}\)
=>-x-5=2x+1
=>-3x=6
=>x=-2
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a,2.(dfrac{1}{4}+x)^3(-dfrac{27}{4})b,(x+dfrac{1}{2})^3:3dfrac{-1}{81}c,(dfrac{2}{3}-x)^21:dfrac{4}{9}d,(2x-dfrac{1}{5})^2+dfrac{16}{25}1e,(dfrac{2}{5}-3x)^2-dfrac{1}{5}dfrac{4}{25}
Đọc tiếp
a,2.(\(\dfrac{1}{4}\)+x)\(^3\)=(\(-\dfrac{27}{4}\))
b,(x+\(\dfrac{1}{2}\))\(^3\):3=\(\dfrac{-1}{81}\)
c,(\(\dfrac{2}{3}\)-x)\(^2\)=1:\(\dfrac{4}{9}\)
d,(2x-\(\dfrac{1}{5}\))\(^2\)+\(\dfrac{16}{25}\)=1
e,(\(\dfrac{2}{5}\)-3x)\(^2\)-\(\dfrac{1}{5}\)=\(\dfrac{4}{25}\)
mọi người giúp mình với...
a/(1+3x)^4=256
\(\dfrac{\text{A= 3^15.29+3^15.88}}{3^{13}.81}\)
Ai giúp mình với, ai có câu trả lời chính xác mình sẽ kết bạn với nick đó
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a, \(\left(1+3x\right)^4=256\)
\(\left(1+3x\right)^4=4^4\)
\(\Rightarrow1+3x=4\)
\(\Rightarrow3x=3\)
\(x=1\)
b, \(A=\dfrac{3^{15}.29+3^{15}.88}{3^{13}.81}\)
\(A=\dfrac{3^{15}\left(29+88\right)}{3^{13}.81}\)
\(A=\dfrac{3^{15}.117}{3^{13}.3^4}\)
\(A=\dfrac{3^{15}.3^2.13}{3^{17}}\)
\(A=\dfrac{3^{17}.13}{3^{17}}=13\)
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\(\left(1+3x\right)^4=256\)
\(\Leftrightarrow\left(1+3x\right)^4=\left(\pm4\right)^4\)
\(\Leftrightarrow1+3x=4\Rightarrow3x=3\Rightarrow x=1\)
\(\Leftrightarrow1+3x=-4\Rightarrow3x=-5\Rightarrow x=\dfrac{-5}{3}\)
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