9^x+1-5.3^2x=324

=>9^x.9-(3²)^x.5=324

=>9^x.9-9^x.5=324

=>9^x(9-5)=324

=>9^x.4=324

=>9^x=324:4

=>9^x=81

=>9^x=9²

=>x=2

vậy x=2

a) \(8\left(x-2\right)=3\)

\(\Leftrightarrow x-2=\dfrac{3}{8}\)

\(\Leftrightarrow x=\dfrac{3}{8}+2\)

\(\Leftrightarrow x=\dfrac{19}{8}\)

Vậy \(x=\dfrac{19}{8}\)

b) \(9^{x+1}-5.3^{2x}=324\)

\(\Rightarrow9^x.9-\left(3^2\right)^x.5=324\)

\(\Rightarrow9^x.9-9^x.5=324\)

\(\Rightarrow9^x\left(9-5\right)=324\)

\(\Rightarrow9^x.4=324\)

\(\Rightarrow9^x=\dfrac{324}{4}\)

\(\Rightarrow9^x=81\)

\(\Rightarrow9^x=9^2\)

\(\Rightarrow x=2\)

Vậy \(x=2\)

a, \(8\left(x-2\right)=3\)

\(\Rightarrow x-2=\dfrac{3}{8}\Rightarrow x=\dfrac{19}{8}\)

b, \(9^{x+1}-5.3^{2x}=324\)

\(\Rightarrow9^x.9-5.9^x=324\)

\(\Rightarrow4.9^x=324\Rightarrow9^x=81=9^2\)

Vì \(9\ne\pm1;9\ne0\) nên \(x=2\)

Chúc bạn học tốt!!!

a) 8.(x-2)=3.

=> (x-2)= 3:8 = 0.375.

x = 0.375 + 2 = 2.375.

b) 9x+1 - 5.32x = 324.

<=> 9.9^x - 5.3^2x=324.

<=> 9.3^2x - 5.3^2x=324.

<=> 3^2x.(9-5)= 3^2x.4= 324.

<=> 3^2x=324:4=81=3⁴.

<=>2x = 4.

<=> x= 2.

\(9^{x+1}-5.3^{2x}=324\)

\(\Rightarrow9^x.9-5.9^x=324\)

\(\Rightarrow9^x\left(9-5\right)=324\)

\(\Rightarrow9^x.4=324\)

\(\Rightarrow9^x=81\)

\(\Rightarrow9^x=9^2\)

vậy x=2

\(\Rightarrow x=2\)

\(9^{x+1}-5.3^{2x}=324\)

\(9^x.9-5.9^x=324\)

\(9^x.\left(9-5\right)=324\)

\(9^x.4=324\)

\(9^x=81=9^2\)

\(\Rightarrow x=2\)

x=2 bạn nhe!

\(9^{x+1}+5.3^{2x}=324\)

\(9^x.9+5.\left(3^2\right)^x=324\)

\(9^x.9+5.9^x=324\)

\(9^x.\left(5+9\right)=324\)

\(9^x.14=324\)

\(9^x=\frac{324}{14}\)

\(\Rightarrow x\in\varnothing\)

kb vs mk nha mk cx là fan conan

Thiếu đề không bạn? Tui nghĩ đề vậy nè:

\(9^{x+1}-5.3^{2x}=324\)

\(\Leftrightarrow9.9^x-5.9^x=324\)

\(\Leftrightarrow4.9^x=324\)

\(\Leftrightarrow9^x=81\)

\(\Leftrightarrow9^x=9^2\)

\(\Leftrightarrow x=2\)

Vậy .........

đủ đề mà

uk đè thiếu không bạn

a) 5^{x + 1} - 2.5^x = 75

<=> 5^x.5 - 2.5^x = 75

<=> 5^x.3 = 75

<=> 5^x = 25

<=> 5^x = 5²

<=> x = 2

Vậy x = 2

b) 9^{x + 1} -  5.3^2x = 324

<=> (3²)^{x + 1} - 5.3^2x = 324

<=> 3^{2x + 2} - 5.3^2x = 324

<=> 3^2x.3² - 5.3^2x = 324

<=> 3^2x . 4 = 324

<=> 3^2x = 81

<=> 3^2x = 3⁴

<=> 2x = 4

<=> x = 2

Vậy x = 2

UIUYI