Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Tìm x, biết:
1) 3x + 153 x (125 : 93) = 1152015
2) 48 + x - 3 = 52 + 25
3) 183 : 3 +485 = x + 254803953
kết quả bạn làm đúng nhưng bạn giải ra được ko
\(\left(\dfrac{12}{25}\right)^X=\left(\dfrac{3}{5}\right)^2-\left(\dfrac{-3}{5}\right)^4\)
\(\left(\dfrac{12}{25}\right)^x=\dfrac{9}{25}-\dfrac{81}{625}\)
\(\left(\dfrac{12}{25}\right)^x=\dfrac{144}{625}\)
\(=>x=2\)
\(\left(\dfrac{12}{25}\right)^x=\left(\dfrac{3}{5}\right)^2-\left(-\dfrac{3}{5}\right)^4\)
\(\Leftrightarrow\left(\dfrac{12}{25}\right)^x=\left(\dfrac{3}{5}\right)^2-\left(\dfrac{3}{5}\right)^4\)
\(\Leftrightarrow\left(\dfrac{12}{25}\right)^x=\left(\dfrac{3}{5}\right)^2-\left(\dfrac{3}{5}\right)^2.\left(\dfrac{3}{5}\right)^2\)
\(\Leftrightarrow\left(\dfrac{12}{25}\right)^x=\left(\dfrac{3}{5}\right)^2.\left[1-\left(\dfrac{3}{5}\right)^2\right]\)
\(\Leftrightarrow\left(\dfrac{12}{25}\right)^x=\dfrac{144}{625}\)
\(\Leftrightarrow\left(\dfrac{12}{25}\right)^x=\left(\dfrac{12}{25}\right)^2\)
\(\Leftrightarrow x=2\)
a)(1/3)4-x=(1/4)3
1/81 -x =1/64
x= 1/81-1/64
x=-17/5184
b)(1/5) . x =(1/5)8 : (1/5)3
(1/5) . x =(1/5)5
x=(1/5)5 : (1/5)
x=(1/5)4
x=1/625
c)(2.x -3 )2=25
=> 2.x-3=5 hoặc =-5
nếu 2.x-3=5 nếu 2.x-3=-5
2.x=5+3 2.x=-5+3
2.x=8 2.x=-2
x=8/2=4 x=-2/2=-1
d)(3x+2)5=-243
(3x+2)5 =(-3)5
=>3x+2=-3
3x=-3+2
3x=-1
x=-1/3
c)(2x-3)\(^2\)=\(5^2\) hoặc(2x-3)\(^2\)=(-5)\(^2\) (2x-3)\(=5\) hoặc (2x-3)=(-5) 2x=8 hoặc 2x=-2 x=4 hoặc x=-1
( 12/25 )x = ( 5/3 )-2 - ( -3/5 )4
<=> ( 12/25 )x = 9/25 - 81/625
<=> ( 12/25 )x = 144/625
<=> ( 12/25 )x = ( 12/25 )2
<=> x = 2
Bài làm:
Ta có: \(\left(\frac{12}{25}\right)^x=\left(\frac{5}{3}\right)^{-2}-\left(-\frac{3}{5}\right)^4\)
\(\Leftrightarrow\left(\frac{12}{25}\right)^x=\frac{9}{25}-\frac{81}{625}\)
\(\Rightarrow\left(\frac{12}{25}\right)^x=\frac{144}{625}\)
\(\Leftrightarrow\left(\frac{12}{25}\right)^x=\left(\frac{12}{25}\right)^2\)
\(\Rightarrow x=2\)