[(-0,5)^3]^x=1/64
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\(\left[\left(0,5\right)^3\right]^x=\dfrac{1}{64}\\ \Leftrightarrow\left[\left(\dfrac{1}{2}\right)^3\right]^x=\dfrac{1}{64}\\ \Leftrightarrow\left(\dfrac{1}{8}\right)^x=\dfrac{1}{64}=\left(\dfrac{1}{8}\right)^2\\ Vậy:x=2\\ \rightarrow S=\left\{2\right\}\)
Ta có: \(\left[\left(-0.5\right)^3\right]^x=\dfrac{1}{64}\)
\(\Leftrightarrow\left(-\dfrac{1}{2}\right)^{3x}=\dfrac{1}{64}\)
\(\Leftrightarrow3x=6\)
hay x=2
64:0,5 + 64:0,25 + 64\(\times4\)
= 64 \(\times\) 2 + 64 \(\times\) 4 + 64 \(\times\) 4
= 64 \(\times\) ( 2 + 4 + 4)
= 64 \(\times\) 10
= 640
[(-0.5)3]x = \(\frac{1}{64}\)
<=> \(\left(-\frac{1}{8}\right)^x\)= \(\left(-\frac{1}{8}\right)^2\)
<=> x = 2
\(\left[-\frac{1}{8}\right]^x=\frac{1}{64}\)
\(\frac{-1^x}{8^x}=\frac{1}{8^2}\)
\(\Rightarrow x=2\)
Vậy,........
\(8,64\times93+8,64:0,5+8,64:0,25+8,64\)
\(=8,64\times93+8,64\times2+8,64\times4+8,64\times1\)
\(=8,64\times\left(92+4+2+1\right)\)
\(=8,64\times100\)
\(=864\)
\(a,\Rightarrow\left[{}\begin{matrix}5x+1=\dfrac{6}{7}\\5x+1=-\dfrac{6}{7}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}5x=\dfrac{1}{7}\\5x=-\dfrac{13}{7}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{35}\\x=-\dfrac{13}{35}\end{matrix}\right.\\ b,\Rightarrow\left(-\dfrac{1}{8}\right)^x=\dfrac{1}{64}=\left(-\dfrac{1}{8}\right)^2\Rightarrow x=2\\ c,\Rightarrow\left(x-2\right)\left(2x+3\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=2\\x=-\dfrac{3}{2}\end{matrix}\right.\\ d,\Rightarrow\left(x+1\right)^{x+10}-\left(x+1\right)^{x+4}=0\\ \Rightarrow\left(x+1\right)^{x+4}\left[\left(x+1\right)^6-1\right]=0\\ \Rightarrow\left[{}\begin{matrix}x+1=0\\\left(x+1\right)^6=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x+1=0\\x+1=1\\x+1=-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-1\\x=0\\x=-2\end{matrix}\right.\\ e,\Rightarrow\dfrac{3}{4}\sqrt{x}=\dfrac{5}{6}\left(x\ge0\right)\\ \Rightarrow\sqrt{x}=\dfrac{10}{9}\Rightarrow x=\dfrac{100}{81}\)
a) 92 : 0,01 = 9200 92 x 100 = 9200 64 : 0,01= 6400
b) 25 : 0,5 = 50 25 x 2 = 50 39 : 0,5 = 78
c) 32 : 0,25 = 128 32 x 4 = 128 15 : 0,25 = 60
a. x2 - 1/4 = 0
x2 = 1/4
x2 = (1/2)2
=>x=1/2
b. x2 + 16 = 0
=>x2= -16 (vô lí)
=>ko tồn tại x tm~
c. x3 + 27 = 0
x3= -27
x3= (-3)3
=>x= -3
d. 2x3 - 16 = 0
x3 - 8 = 0
x3=8=23
=>x=2
e.[( - 0,5)3] = 1/64 =>????
h. (2n)2 = 64
22n=26
=>2n=6 => n=3
a) x = 1/2 hoặc x = -1/2
b) Ko có giá trị của x thỏa mãn
c) x = -3
d) x = 2 hoặc x = -2
e) Ko thấy x thì sao giải đc
h) n = 3
\(\left[\left(-0,5\right)^3\right]^x=\dfrac{1}{64}\)
\(\Rightarrow\left(-\dfrac{1}{8}\right)^x=\left(-\dfrac{1}{8}\right)^2\)
\(\Rightarrow x=2\)
Ta có: \(\left[\left(-0.5\right)^3\right]^x=\dfrac{1}{64}\)
\(\Leftrightarrow\left(\dfrac{1}{2}\right)^{3x}=\dfrac{1}{64}\)
\(\Leftrightarrow3x=6\)
hay x=2