1.Tìm x biết
a.(-3/4)^3x-1=256/81
b.172 x^2 -7^9 chia 98^3=1^8
c)3^x-1 /+5.3^x-1=162
2.Tìm x
a.8<2^x<2^9.2^-5
b.27<81^3 chia 3^x<243
3.Rút gọn
a.2^13.3^7/2^15.3^2.9^2
b.4^5.9^4-2.6^9/2^10.3^8+6^8.20
2 TÌM X BIẾT
a, (5x+1)^2 = 36/49
b, (12/25)^x =(5/3)^2 -(-3/5)^4
c, (-3/4)^ 3x-1 = 256/81
d, 172 .x ^2 -7^9 :98^3 =2^3
e,5^x .(5^3)^2 =625
f, (x-2/9)^3 =(2/3)^6
a)\(\left(5x+1\right)^2=\frac{36}{49}\\ \left(5x+1\right)^2=\left(\frac{6}{7}\right)^2\\ \Rightarrow\left[{}\begin{matrix}5x+1=\frac{6}{7}\\5x+1=\frac{-6}{7}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{-1}{35}\\x=\frac{-13}{35}\end{matrix}\right.\)
vậy...
2.
a) \(\left(5x+1\right)^2=\frac{36}{49}\)
⇒ \(5x+1=\pm\frac{6}{7}\)
⇒ \(\left[{}\begin{matrix}5x+1=\frac{6}{7}\\5x+1=-\frac{6}{7}\end{matrix}\right.\) ⇒ \(\left[{}\begin{matrix}5x=\frac{6}{7}-1=-\frac{1}{7}\\5x=\left(-\frac{6}{7}\right)-1=-\frac{13}{7}\end{matrix}\right.\) ⇒ \(\left[{}\begin{matrix}x=\left(-\frac{1}{7}\right):5\\x=\left(-\frac{13}{7}\right):5\end{matrix}\right.\)
⇒ \(\left[{}\begin{matrix}x=-\frac{1}{35}\\x=-\frac{13}{35}\end{matrix}\right.\)
Vậy \(x\in\left\{-\frac{1}{35};-\frac{13}{35}\right\}.\)
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Tìm x, biêt:
a) \(\left(\frac{-3}{4}\right)^{3x-1}=\frac{256}{81}\)
b) \(172.x^2-7^9:98^3=2^{-3}\)
tìm x biết
a .\(\left(\frac{-3}{4}\right)^{3x-1}=\frac{256}{81}\)
b, \(172.x^2-7^9:98^3=2^{-3}\)
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TÌm x
a)\(\left(\frac{-3}{4}\right)^{3x-1}=\frac{256}{81}\)
b) 172 . x2 - 79 : 98 3 = 2 -3
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)\(172x^2-7^9:98^3=2^{-3}\)
bài 1; tìm số tự nhiên x, y biết
a, 5^x +5^x+2= 650
b, 3^x-1+5.3^x-1=162
c, 2^x+1. 3^y=12^x
d, 10^x : y^5=y^20
e,2^x=4^y-1 và 27^y= 3^x+8
bài 2 : tìm x trong các đẳng thức sau
a, I x-1I+3x=1
b,I5x-3I-x=7
a)5x+5x+2=650
\(\Rightarrow5^x\left(1+5^2\right)=650\)
\(\Rightarrow5^x\cdot26=650\)
\(\Rightarrow5^x=25\)
\(\Rightarrow5^x=5^2\)
\(\Rightarrow x=2\)
b)\(3^{x-1}+5\cdot3^{x-1}=162\)
\(\Rightarrow3^{x-1}\cdot\left(1+5\right)=162\)
\(\Rightarrow3^{x-1}\cdot6=162\)
\(\Rightarrow3^{x-1}=27\)
\(\Rightarrow3^{x-1}=3^3\)
\(\Rightarrow x-1=3\)
\(\Rightarrow x=4\)
c và d bài 1 có tại đây Câu hỏi của Vương Hàn - Toán lớp 7 | Học trực tuyến
tìm x:
\(a,5^x.\left(5^2\right)^3=625\)
\(b,\left(\dfrac{12}{15}\right)^x=\left(\dfrac{5}{4}\right)^{-2}-\left(\dfrac{-3}{5}\right)^4\)
\(c,\left(\dfrac{-3}{4}\right)^{3x-1}=\dfrac{256}{81}\)
\(d,172x^2-7^9:98^3=2^{-3}\)
Tìm x biết :
a) 1/3x+ 2/5(x-1)=4
b)3^x-1+5.3^x-1=162
Tìm số tự nhiên x biết
a)3x+2=11
b)(3x-1).5=10^4:10^3
c)8.5^2x=2.10^2
d)3^x-1+5.3^x-1=162