a: \(\Leftrightarrow\left(\dfrac{1}{2}\right)^x\left(1+\dfrac{1}{16}\right)=17\)
\(\Leftrightarrow\left(\dfrac{1}{2}\right)^x=16\)
hay x=-4
b: =>3<x<5
=>x=4
tìm x biết
a) \(\dfrac{2}{5}-\left(\dfrac{1}{10}-x\right)=\left(\dfrac{-2}{5}-\dfrac{1}{2}\right)^2\)
b) \(\dfrac{2}{5}-\dfrac{3}{5}\left(x-2\right)=\left(\dfrac{-1}{2}\right)^3-\left(\dfrac{3}{4}\right)^3.\left(-2\right)^2\)
Bài 1: Tìm x:
\(\left(x+\dfrac{2}{3}\right)^5=\left(x+\dfrac{2}{5}\right)^3\)
Bài 2: Tìm x,y\(\in\) N biết:
\(\dfrac{27^x}{3^{2x-y}}=243\) và \(\dfrac{25^x}{5^{x+y}}=125\)
Tìm x:
1)\(\left(x-2\right)^3=-27\)
2)\(\left(2x-3\right)^2=25\)
3)\(3^{x-1}=\dfrac{1}{243}\)
4)\(2x+2^{x+3}=144\)
5)\(\left(2x-3\right)^2=16\)
6)\(\left(3x-2\right)^5=-243\)
7)\(\left(7x+2\right)^{-1}=3^{-2}\)
Chứng Minh Rằng
\(3^{n+3}+3^{n+1}+2^{n+3}+2^{n+2}⋮6\)
Giúp mình với
BT4:Tìm x, biết:
a) \(x\div\left(\dfrac{3}{4}\right)^3=\left(\dfrac{3}{4}\right)^2\)
b) \(\left(\dfrac{2}{5}\right)^5\div x=\left(\dfrac{2}{5}\right)^8\)
1)Tìm x biết:
A)\(\left(\dfrac{2}{5}-3x\right)^2=\dfrac{9}{25}\)
B)\(\left(\dfrac{2}{3}x-\dfrac{1}{3}\right)^5=\dfrac{1}{243}\)
2)So sánh:
A)\(5^{222}và\)\(2^{555}\)
B)\(3^{48}và4^{36}\)
1: Tính : \(\dfrac{\left(\dfrac{2}{5}\right)^7.5^7+\left(\dfrac{9}{4}\right)^3:\left(\dfrac{3}{16}\right)^3}{2^7.5^2+512}\) 2 . Tìm x biết :\(\left(5.x+1\right)^2=\dfrac{36}{49}\)
Tìm x, biết:
a) x : \(\left(\dfrac{3}{4}\right)^3\)= \(\left(\dfrac{3}{4}\right)^2\) b) \(\left(\dfrac{2}{5}\right)^5\). x = \(\left(\dfrac{2}{5}\right)^8\)
Tìm các số tự nhiên m,n biết :
a) \(\left(-\dfrac{1}{5^{ }}\right)^n\) =\(-\dfrac{1}{125}\)
b)\(\left(-\dfrac{2}{11^{ }}\right)^m=\dfrac{4}{121}\)
c)\(7^{2n}+7^{2n+2}=2450\)
Bài 1: Tìm x (dạng tìm số mũ)
Nếu a \(\ne0,a\ne\pm1\).Nếu \(^{a^m=a^n}\) thì m=n
a, \(\left(\dfrac{1}{2}\right)^m=\dfrac{1}{32}\)
b, \(-\dfrac{343}{125}=\left(-\dfrac{7}{5}\right)^n\)
c, \(2^{n+3}.2^n=128\)
Bài 2: Tìm x (dạng tìm cơ số)
a, \(x-2^{2=16}\)
b, \(\left(2x-1\right)^3=8\)
c, \(\left(4x-3\right)^3=-125\)
d, \(\left(x-4\right)^4=0\)
\(\left(\dfrac{3}{\dfrac{4}{32}}x-1\right)^5=243\) ( 3 phần 4 nhân x trừ 1 tất cả trên 32 nhé)
