a) 4^x + 4^{x + 3}  = 4160

4^x + 4^x . 4³  = 4160

4^x .( 1 + 4³ ) = 4160

4^x . 65 = 4160 

4^x  = 4160 : 65

4^x = 64 => 4^x = 4³ => x = 3

b) 5^x + 5^{x + 2} = 650

5^{x  +} 5^x . 5² = 650

5^x . ( 1 + 5² ) = 650

5^x . 26 = 650 => 5^x = 650 : 26 = 25 => 5^x  = 5² => x = 2

a) 4³ + 4³⁺³ = 4160

b) 5² + 5²⁺² = 650

Chúc bạn học tốt!

\(a)4^x+4^{x+3}=4160\)

\(\Rightarrow4^x+4^x\cdot4^3=4160\)

\(\Rightarrow4^x+(1\cdot4^3)=4160\)

\(\Rightarrow4^x+(1\cdot64)=4160\)

\(\Rightarrow4^x+64=4160\)

\(\Rightarrow4^x=4160-64\)

\(\Rightarrow4^x=4096\)

\(\Rightarrow4^x=4^6\)

\(\Rightarrow x=6\)

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 rõ lun

a)\(5^x+5^{x+2}=650\)(=)\(5x.\left(1+25\right)=650\)(=)\(5^x.26=650\)(=)\(5^x=25\)=>x=2

b)\(3^{x-1}+5.3^{x-1}=162\)(=)\(3^{x-1}.\left(1+5\right)=162\)(=)\(3^{x-1}.6=162\)(=)\(3^{x-1}=27\)(=)\(3^{x-1}=3^3\)=>x-1=3(=)x=2

c)\(4^x+4^{x+3}=4160\)(=)\(4^x.\left(1+64\right)=4160\)(=)\(4^x.65=4160\)(=)\(4^x=64\)(=)\(4^x=4^3\)

=>x=3

học tốt

`x+2/5=4/3`

`=>x=4/3-2/5`

`=> x= 20/15 -6/15`

`=>x= 14/15`

__

`x : 3/2 =2 xx 1/5`

`=> x : 3/2= 2/5`

`=> x= 2/5 xx 3/2`

`=> x= 6/10`

`=>x= 3/5`

__

Bài `5` này có `1` chút lạ ạ 

3/5 * x -1/2 = 1/5

giúp mình nhá mình đang cần gấp 

\(a,x-\dfrac{5}{7}=\dfrac{3}{5}\times\dfrac{1}{2}\)

\(x-\dfrac{5}{7}=\dfrac{3}{10}\)

\(x=\dfrac{3}{10}+\dfrac{5}{7}\)

\(x=\dfrac{21}{70}+\dfrac{50}{70}\)

\(x=\dfrac{71}{70}\)

\(Vayx=\dfrac{71}{70}\)

\(b,x\times\dfrac{2}{3}=\dfrac{5}{8}+\dfrac{3}{4}\)

\(x\times\dfrac{2}{3}=\dfrac{5}{8}+\dfrac{6}{8}\)

\(x\times\dfrac{2}{3}=\dfrac{11}{8}\)

\(x=\dfrac{11}{8}:\dfrac{2}{3}\)

\(x=\dfrac{11}{8}\times\dfrac{3}{2}\)

\(x=\dfrac{33}{16}\)

\(Vayx=\dfrac{33}{16}\)

a) x = 5/8 : 3/4

x = 5/6

b) x = 5/6 - 1/12

x = 3/4

a)x=\(\dfrac{5}{8}:\dfrac{3}{4}=\dfrac{5}{6}\)

b) x=\(\dfrac{5}{6}-\dfrac{1}{12}=\dfrac{3}{4}\)

a \(x=\dfrac{5}{8}:\dfrac{3}{4}\)

\(x=\dfrac{5}{8}\times\dfrac{4}{3}\)

\(x=\dfrac{5}{6}\)

b \(x=\dfrac{5}{6}-\dfrac{1}{12}\)

\(x=\dfrac{10}{12}-\dfrac{1}{12}\)

\(x=\dfrac{9}{12}\)

\(x=\dfrac{3}{4}\)

a) \(x+\dfrac{4}{15}=\dfrac{4}{12}\)

\(x=\dfrac{4}{12}-\dfrac{4}{15}\)

\(x=\dfrac{20}{60}-\dfrac{16}{60}\)

\(x=\dfrac{1}{15}\)

b) \(x-\dfrac{5}{8}=1\dfrac{2}{3}\)

\(x-\dfrac{5}{8}=\dfrac{5}{3}\)

\(x=\dfrac{5}{3}+\dfrac{5}{8}\)

\(x=\dfrac{40}{24}+\dfrac{15}{24}\)

\(x=\dfrac{55}{24}\)

a: \(x\cdot3\cdot5=2,7\)

=>\(x\cdot15=2,7\)

=>\(x=\dfrac{2,7}{15}=0,18\)

b: \(1,2:x\cdot4=20\)

=>\(1,2:x=20:4=5\)

=>\(x=1,2:5=0,24\)