Question

(7^12) ^x=49^9 × (7^x) 6​

Answer 1

Răspuns:

(7^12) ^x=49^9 × (7^x) 6​

7¹²ˣ=(7²)⁹·7⁶ˣ

7¹²ˣ=7¹⁸·7⁶ˣ

12x=18+6x

12x-6x=18

6x=18=>x=18:6=>x=3

Answer 2

Explicație pas cu pas:

$\bf \big(7^{12}\big)^x=49^9 \cdot\big(7^{x}\big)^{6}$

$\bf 7^{12 \cdot x}=\big(7^{2}\big)^{9} \cdot7^{x \cdot6}$

$\bf 7^{12x}=7^{2\cdot 9} \cdot7^{6x}$

$\bf 7^{12x}=7^{18} \cdot7^{6x}$

$\bf 7^{12x}=7^{18 + 6x} \implies 12x = 18 + 6x$

$\bf 12x - 6x= 18$

$\bf 6x= 18 \: \: \: \: \bigg|: 6$

$\red{ \underline{\bf \: x= 3 \: }}$