Đặt P= \(\dfrac{2.5^{22}-9.5^{21}}{25^{10}}\) : \(\dfrac{5.\left(3.7^{15}-19.7^{14}\right)}{\left(7^{16}+3.7^{15}\right)}\)

Có : \(\dfrac{2.5^{22}-9.5^{21}}{25^{10}}\)

= \(\dfrac{\left(2.5-9\right).5^{21}}{\left(5^2\right)^{10}}\)= \(\dfrac{\left(10-9\right).5^{21}}{5^{20}}\)=\(\dfrac{5^{21}}{5^{20}}\)= 5 (1)

Có: \(\dfrac{5.\left(3.7^{15}-19.7^{14}\right)}{\left(7^{16}+3.7^{15}\right)}\)

= \(\dfrac{5.\left[7^{14}.\left(3.7-19\right)\right]}{\left[7^{15}.\left(3+7\right)\right]}\)=\(\dfrac{5.7^{14}.2}{7^{15}.10}\)=\(\dfrac{10.7^{14}}{7^{15}.10}\)=\(\dfrac{1}{7}\) (2)

Từ (1) và (2) suy ra:

A= 5:\(\dfrac{1}{7}\)=5.7=35

Vậy A=35 hay \(\dfrac{2.5^{22}-9.5^{21}}{25^{10}}\):\(\dfrac{5.\left(3.7^{15}-19.7^{14}\right)}{\left(7^{16}+3.7^{15}\right)}\)= 35

\(P=\dfrac{2.5^{22}-9.5^{20}}{25^{10}}:\dfrac{5\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)

\(=\dfrac{5^{20}\left(2.5^2-9\right)}{5^{20}}:\dfrac{5.7^{14}\left(3.7-19\right)}{7^{15}\left(7+3\right)}\)

\(=\left(2.5^2-9\right):\dfrac{5\left(3.7-19\right)}{7.10}\)

\(=\dfrac{7.10\left(2.5^2-9\right)}{5\left(3.7-19\right)}\)

\(=\dfrac{7.2\left(2.5^2-9\right)}{3.7-19}\)

\(=\dfrac{14.41}{21-19}\)

\(=\dfrac{14}{2}\cdot41=7.41=287\)

5^x-11 - 2.5² = 3.5³

5^x-11 - 2.25 = 3.125

5^x-11 - 50 = 375

5^x-11 = 375 + 50

5^x-11 = 425

.....

=>x thuộc rỗng nhé

5^x-11-2.25=3.125

5^x-11-50=375

5^x-11=375+50

5^x-11=425

đề sai rồi vì 5 mũ mấy cũng ko bằng 425 đâu

\(\Leftrightarrow5^x\cdot625-3\cdot5^x\cdot125=2\cdot5^{11}\)

\(\Leftrightarrow5^x\cdot250=2\cdot5^{11}\)

\(\Leftrightarrow5^x=5^8\)

hay x=8

Ta có:\(5^{x+4}-3\cdot5^{x+3}=2\cdot5\)

\(5^x\cdot5^4-3\cdot5^x\cdot5^3=10\)

\(5^x\left(5^4-3\cdot5^3\right)=10\)

\(5^x\cdot250=10\)

\(5^x=10:250\)

\(5^x=\frac{1}{25}\)

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

\(\Rightarrow x=-2\)

\(5^{x+4}-3.5^{x+3}=2.5\)

\(\Rightarrow5^{x+3}.5-3.5^{x+3}=2.5\)

\(\Rightarrow5^{x+3}.\left(5-3\right)=2.5\)

\(\Rightarrow5^{x+3}.2=2.5\)

\(\Rightarrow5^{x+3}=5\)

\(\Rightarrow x+3=1\)

\(\Rightarrow x=-2\)

Vậy \(x=-2\)

giup dùm zs chìu nay làm òi T-T

ai tick cho mình đi 

mình sẽ cảm ơn!!!!!!

thanks