(-3)mũ x/81= 27
viết các biểu thức sau dưới dạng lũy thừa
a) 9 x 3 mũ 2 x 1/81 x 27
b) 4x32 :(2 mũ 3 x 1/16)
c)3 mũ 4 x 3 mũ 5 : 1/27
d) 81 mũ 11 x 3 mũ 17 / 27 mũ 10 x 9 mũ 15
(3/5)mũ 5 . x = (3/7)mũ 7
(-1/3)mũ 3 . x = 1/81
(x - 1/2) mũ 3 = 1/27
(3x + 1)mũ 3 = -27
(x + 1/2) mũ 4 = 16/81
(4/5) mũ 5.x = (4/5) mũ 7
Vũ Hồng Linh bạn check lại bài đầu dùm =_="
\(\left[-\frac{1}{3}\right]^3\cdot x=\frac{1}{81}\)
\(\Leftrightarrow x=\frac{1}{81}:\left[-\frac{1}{3}\right]^3\)
\(\Leftrightarrow x=\frac{1}{81}:\left[-\frac{1}{27}\right]\)
\(\Leftrightarrow x=\frac{1}{81}\cdot(-27)=-\frac{1}{3}\)
\(\left[x-\frac{1}{2}\right]^3=\frac{1}{27}\)
\(\Leftrightarrow\left[x-\frac{1}{2}\right]^3=\left[\frac{1}{3}\right]^3\)
=> Làm nốt
Mấy bài kia cũng làm tương tự
(- \(\dfrac{1}{3}\))3.\(x\) = \(\dfrac{1}{81}\)
\(x=\dfrac{1}{81}\) : (- \(\dfrac{1}{3}\))3
\(x\) = - (\(\dfrac{1}{3}\))4 :(\(\dfrac{1}{3}\))3
\(x=-\dfrac{1}{3}\)
Vậy \(x=-\dfrac{1}{3}\)
(3\(x\) + 1)3 = - 27
(3\(x\) + 1)3 = (-3)3
3\(x\) + 1 = -3
3\(x\) = - 3 - 1
3\(x\) = -4
\(x=-\dfrac{4}{3}\)
Vậy \(x=-\dfrac{4}{3}\)
(3x + 1/4) mũ 3 = -27
x mũ 7/ 81 = 27
x mũ 10 = 25x mũ 8
(x mũ 2) mũ 4 = x mũ 18/ x mũ 10
Tìm x hả bạn ?
a ) \(\left(3x+\frac{1}{4}\right)^3=-27\)
\(\left(3x+\frac{1}{4}\right)^3=\left(-3\right)^3\)
\(\Rightarrow3x+\frac{1}{4}=-3\)
\(\Rightarrow3x=-3-\frac{1}{4}=-\frac{13}{4}\)
\(\Rightarrow x=-\frac{13}{4}:3=-\frac{13}{12}\)
Vậy x = \(-\frac{13}{12}\)
cho em hoi câu này xin các anh chị:
10mux x+4y = 2013
Cảm ơn Hoác Thiên Kình nhé .Thanh you
3 mũ 2 x3 mũ X x 81 - 27 mũ 4 = 0
\(3^2.3^x.81-27^4=0\)
\(3^2.3^x.3^4-\left(3^3\right)^4=0\)
\(3^6.3^x-3^{12}=0\)
\(3^6.3^x-3^{12}=0\)
\(3^6.3^x=0+3^{12}\)
\(3^6.3^x=3^{12}\)
\(3^{6+x}=3^{12}\)
\(\Rightarrow6+x=12\)
\(x=12-6\)
\(\Rightarrow x=6\)
81 x (27 + 9 mũ 15) : (35 + 3 mũ 32)
Tìm x :
27 mũ x phần 3 mũ x = 81
\(\frac{27^x}{3^x}=81\)
\(\Rightarrow\frac{\left(3^3\right)^x}{3^x}=81\)
\(\Rightarrow\frac{3^{3x}}{3^x}=81\)
\(\Rightarrow3^{3x-x}=81\)
\(\Rightarrow3^{2x}=81\)
\(\Rightarrow3^{2x}=3^4\)
\(\Rightarrow2x=4\)
\(\Rightarrow x=4:2\)
\(\Rightarrow x=2\)
Vậy \(x=2.\)
Chúc bạn học tốt!
(-3) mũ x phần 81= -27
\(\frac{\left(-3\right)^x}{81}=-27\)
=> ( - 3 )x = - 2187
=> ( - 3 )x = ( - 3 )7
=> x = 7
Tìm x, biết :
a. x + (-5) = -14
b. -x + 7 = -23
c. 112 - x = (-3) x (-15)
d. (x - 15) - 27 = 5 mũ 5 : 5 mũ 3
e. (2x +1) mũ 2 = 81
f. (x-5) mũ 3 = -27
\(a)x+\left(-5\right)=-14\)
\(\Leftrightarrow x=-14-\left(-5\right)\)
\(\Leftrightarrow x=-14+5\)
\(\Leftrightarrow x=-9\)
\(b)-x+7=-23\)
\(\Leftrightarrow-x=-23+ \left(-7\right)\)
\(\Leftrightarrow-x=-30\)
\(\Leftrightarrow x=30\)
\(c)112-x=\left(-3\right).\left(-15\right)\)
\(\Leftrightarrow112-x=45\)
\(\Leftrightarrow x=112-45\)
\(\Leftrightarrow x=67\)
\(d)\left(x-15\right)-27=5^5:5^3\)
\(\Leftrightarrow\left(x-15\right)-27=5^2\)
\(\Leftrightarrow\left(x-15\right)-27=25\)
\(\Leftrightarrow x-15=52\)
\(\Leftrightarrow x=67\)
\(e)\left(2x+1\right)^2=81\)
\(\Leftrightarrow\left(2x+1\right)^2=9^2\)
\(\Leftrightarrow2x+1=9\)
\(\Leftrightarrow2x=8\)
\(\Leftrightarrow x=4\)
\(f)(x-5^3)=-27\)
\(f)(x-5^3)=-9^3\)
\(\Leftrightarrow x-5=-9\)
\(\Leftrightarrow x=-4\)
P/s: Bạn tự kết luận.
3 mũ 7. 27 mũ 5. 81 mũ 3=?