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1. \(2^x-26=6\)
\(\Rightarrow2^x=6+26\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
2. \(64\cdot4^x=16^8\)
\(\Rightarrow4^3\cdot4^x=4^{16}\)
\(\Rightarrow4^x=4^{16}:4^3\)
\(\Rightarrow4^x=4^{13}\)
\(\Rightarrow x=13\)
3. \(\left(2x-1\right)^4=16\)
\(\Rightarrow\left(2x-1\right)^4=2^4\)
\(\Rightarrow2x-1=2\)
\(\Rightarrow2x=3\)
\(\Rightarrow x=\dfrac{3}{2}\)
4. \(\left(2x+1\right)^3=125\)
\(\Rightarrow\left(2x+1\right)^3=5^3\)
\(\Rightarrow2x+1=5\)
\(\Rightarrow2x=4\)
\(\Rightarrow x=2\)
\(2^n\cdot2^2=2^8\)
=> \(2^n=2^8:2^2=2^{8-2}=2^6\)
=> n = 6
Đề thứ hai mình cảm thấy vô lý nên mình sửa lại đề nhé :))
\(\left(n-1\right)^3=125\)
=> \(\left(n-1\right)^3=5^3\)
=> \(n-1=5\Rightarrow n=6\)
\(\left(2n+1\right)^3=125\)
=> \(\left(2n+1\right)^3=5^3\)
=> \(2n+1=5\Rightarrow2n=4\Rightarrow n=2\)
\(2^n-26=6\Rightarrow2^n=32\Rightarrow2^n=2^5\Rightarrow n=5\)
\(2^n\cdot4=128\Rightarrow2^n=32\Rightarrow2^n=2^5\Rightarrow n=5\)(để n luôn đi chứ x làm gì :vv )
a)\(3^2.3^x=243\)
\(3^2.3^x=3^5\)
\(3^x=3^5:3^2\)
\(3^x=3^3\)
\(\Rightarrow x=3\)
b)\(2^x.16^2=1024\)
\(2^x.\left(2^4\right)^2=2^{10}\)
\(2^x.2^8=2^{10}\)
\(2^x=2^{10}:2^8\)
\(2^x=2^2\)
\(\Rightarrow x=2\)
Học tốt nha^^
3^2.3=243 vậy x=3
2^x.16^2=1024 vậy x=2
64.4^x=16^8 vậy x=13
2^x-26=6 vậy x=5
phần cuối đề sai
\(a,2^x.4=128\\2^x.2^2=2^7\\ 2^x=\dfrac{2^7}{2^2}=2^{7-2}=2^5\\ Vậy:x=5\\ ----\\ b,\left(2x+1\right)^3=125=5^3\\ \Rightarrow 2x+1=5\\ 2x=5-1=4\\ x=\dfrac{4}{2}=2\\ ----\\ c,2x-2^6=6\\ 2x=6+2^6=6+64\\ 2x=70\\ x=\dfrac{70}{2}=35\\ ----\\ d,49.7^x=2401\\ 7^x=\dfrac{2401}{49}=49=7^2\\ Vậy:x=2\)
a) \(\frac{-x}{2}+\frac{2x}{3}+x+\frac{1}{4}+2x+\frac{1}{6}=\frac{3}{8}.\)
\(\frac{-x}{2}+\frac{2x}{3}+3x+\frac{5}{12}=\frac{3}{8}\)
\(x.\left(-\frac{1}{2}+\frac{2}{3}+3\right)+\frac{5}{12}=\frac{3}{8}\)
\(x\cdot\frac{19}{6}=-\frac{1}{24}\)
x = -1/76
b) \(\frac{3}{2x+1}+\frac{10}{4x+2}-\frac{6}{6x+3}=\frac{12}{26}\)
\(\frac{3}{2x+1}+\frac{2.5}{2.\left(2x+1\right)}-\frac{2.3}{3.\left(2x+1\right)}=\frac{6}{13}\)
\(\frac{3}{2x+1}+\frac{5}{2x+1}-\frac{2}{2x+1}=\frac{6}{13}\)
\(\frac{3+5-2}{2x+1}=\frac{6}{13}\)
\(\frac{6}{2x+1}=\frac{6}{13}\)
=> 2x + 1 = 13
2x = 12
x = 6
(2x + 1)3 = 125
(2x + 1)3 = 53
2x + 1 = 5
2x = 5 - 1
2x = 4
x = 4 : 2
x = 2
2x - 26 = 6
2x = 6 + 26
2x = 32
2x = 25
x = 5
Chúc bạn học tốt.
😁😁😁