a) \(5.\left(x-3\right)=15\)

\(x-3=15:5\)

\(x-3=3\)

\(x=6\)

b)\(10+2.x=4^5:4^3\)

\(10+2.x=16\)

\(2x=16-10\)

\(2x=6\)

\(x=3\)

c) \(5^{x+1}=125\)

\(5^{x+1}=5^3\)

\(x+1=3\)

\(x=2\)

d) \(5^{2x-3}-2.5^2=5^2.3\)

\(5^{2x-3}=2.5^2+5^2.3\)

\(5^{2x-3}=125\)

\(5^{2x-3}=5^2\)

\(2x-3=2\)

\(2x=6\)

\(x=3\)

Mk nhanh nek bn

Đúng k bn

\(x-\frac{10}{3}=\frac{7}{15}.\frac{3}{5}\)

\(x-\frac{10}{3}=\frac{7}{25}\)

\(x=\frac{7}{25}+\frac{10}{3}=\frac{271}{75}\)

Vậy x = 271/75

\(x-\frac{10}{3}\)\(=\)\(\frac{7}{15}\)\(.\)\(\frac{3}{5}\)

\(x-\frac{10}{3}\)\(=\)  \(\frac{7}{25}\)

\(x\)             \(=\)\(\frac{7}{25}\)\(+\)\(\frac{10}{3}\)

\(x\)                 \(=\)    \(\frac{271}{75}\)

đây bạn

a) \(\frac{-3}{16}+\frac{-7}{16}+\frac{6}{-16}\)

\(=-\frac{3}{16}+-\frac{7}{16}+\frac{-6}{16}\)

\(=\frac{\left(-3\right)+\left(-7\right)+\left(-6\right)}{16}\)

\(=\frac{-16}{16}=-1\)

b) \(\frac{2}{5}-\frac{1}{7}+\frac{7}{10}\)

\(=\frac{28}{70}-\frac{10}{70}+\frac{49}{70}\)

\(=\frac{28-10+49}{70}\)

\(=\frac{67}{70}\)

c) \(3+\frac{1}{3}-2\frac{1}{2}\)

\(=\frac{3}{1}+\frac{1}{3}-\frac{5}{2}\)

\(=\frac{18}{6}+\frac{2}{6}-\frac{15}{6}\)

\(=\frac{18+2-15}{6}\)

\(=\frac{5}{6}\)

d) \(-\frac{3}{5}-\left(-\frac{2}{15}\right)\)

\(=-\frac{3}{5}+\frac{2}{15}\)

\(=\frac{-9}{15}+\frac{2}{15}\)

\(=-\frac{7}{15}\)

\(\frac{-3}{16}\)+(\(\frac{-7}{16}\) ) +(\(\frac{6}{-16}\))

=\(\frac{-3-7-6}{16}\)

=\(\frac{-16}{16}\)= \(-1\)

\(\frac{2}{5}\)\(-\)\(\frac{1}{7}\)+\(\frac{7}{10}\)

=\(\frac{9}{35}\)+\(\frac{7}{10}\)

=\(\frac{67}{70}\)

3+ \(\frac{1}{3}\)\(-\) \(\frac{21}{2}\)

=\(\frac{18+2-63}{6}\)

=\(\frac{-43}{6}\)

\(\frac{-3}{5}\)\(-\)(\(\frac{-2}{15}\))

=\(\frac{-3}{5}\)+\(\frac{2}{15}\)

=\(\frac{-9+2}{15}\)

=\(\frac{-7}{15}\)

\(\frac{-7}{21} +\left(1+\frac{1}{3}\right)\)

\(=\frac{-1}{3}+1+\frac{1}{3}=1\)

1. 3A = 3^2 + 3^3 + 3^4 + ... + 3^100 + 3^ 101 
=> 3A - A = (3^2 + 3^3 + 3^4 + ... + 3^100 + 3^ 101) - (3 + 3^2 + 3^3 + 3^4 + ... + 3^100 ) 
=> 2A = 3^101 - 3 => 2A + 3 = 3^101 vậy n = 101 
2. 2A = 8 + 2 ^ 3 + 2^4 + ... + 2^20 + 2^21 
=> 2A - A = (8 + 2 ^ 3 + 2^4 + ... + 2^20 + 2^21) - (4+ 2^2 + 2 ^ 3 + 2^4 + ... + 2^20 ) 
=> A = 2^21 là một lũy thừa của 2 
3. 
a) 3A = 3 + 3^2 + 3^3 + 3^4 + ... + 3^100 + 3^ 101 
=> 3A - A = (3 + 3^2 + 3^3 + 3^4 + ... + 3^100 + 3^ 101) - (1 + 3 + 3 ^2 + 3 ^ 3 + ... + 3 ^100) 
=> 2A = 3^101 - 1 => A = (3^101 - 1)/2 
b) 4B = 4 + 4 ^ 2 + 4 ^3 + 4 ^ 4 + ... + 4 ^ 100 + 4^ 101 
=> 4B - B = (4 + 4 ^ 2 + 4 ^3 + 4 ^ 4 + ... + 4 ^ 100 + 4^ 101) - (1 + 4 + 4 ^ 2 + 4 ^3 + 4 ^ 4 + ... + 4 ^ 100 ) 
=> 3B = 4^101 - 1 => B = ( 4^101 - 1)/2 
c) xem lại đề ý c xem quy luật như thế nào nhé. 
d) 3D = 3^101 + 3^ 102 + 3^ 103 + ... + 36 150 + 3^ 151 
=> 3D - D = (3^101 + 3^ 102 + 3^ 103 + ... + 36 150 + 3^ 151) - (3 ^100 + 3 ^ 101 + 3 ^ 102 + .... + 3 ^ 150) 
=> 2D = 3^ 151 - 3^100 => D = ( 3^ 151 - 3^100)/2

a) Sai

b) Sai

c) Đúng

a sai

b sai

c đúng

các bn lm đến đâu cx dc miễn là lm hộ mk cái ạ, ai đang lm vào nhắn tin vs mk để mk bít nha

a; \(-\dfrac{8}{3}+\dfrac{7}{5}-\dfrac{71}{15}< x< -\dfrac{13}{7}+\dfrac{19}{14}-\dfrac{7}{2}\)

              -\(\dfrac{19}{15}\) - \(\dfrac{71}{15}\) < \(x\) < -\(\dfrac{1}{2}\) - \(\dfrac{7}{2}\)

              -6 < \(x\) < -4

             vì \(x\) \(\in\) Z nên \(x\) = -5