Question

please answer me correct

ध्यान से देखना ये कुछ clear nahi hai​

Answer 1

Answer:

6 is correct answer

Step-by-step explanation:

(12/13)⁴×(12/13)⁸=(12/13)²^x

(12/13)^4+8=(12/13)^2x

12=2x

x=6

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

1. $\displaystyle \: {a}^{ - m} = {( \frac{1}{a} )}^{m}$

2.$\displaystyle \: {a}^{ m} \times {a}^{ n}= {a}^{ m + n}$

3. ${a}^{ m} = {a}^{ n} \: \: \: implies \: \: m \: = n$

CALCULATION

$\displaystyle \: { (\frac{12}{13})}^{4} \times { (\frac{13}{12})}^{ - 8} = { (\frac{12}{13})}^{2x}$

$\implies \displaystyle \: { (\frac{12}{13})}^{4} \times { (\frac{12}{13})}^{ 8} = { (\frac{12}{13})}^{2x} \: \: (by \: rule \: 1)$

$\implies \displaystyle \: { (\frac{12}{13})}^{(4 + 8)} = { (\frac{12}{13})}^{2x} \: \: (by \: rule \: 2)$

$\implies \displaystyle \: { (\frac{12}{13})}^{12} = { (\frac{12}{13})}^{2x} \: \:$

$\implies \displaystyle \: 12 = 2x \: \: (by \: rule \: 3)$

$\implies \displaystyle \: 2x = 12$

$\implies \displaystyle \: x = \frac{12}{2}$

$\therefore \: x \: = 6$