Question

the value of 'x' if 5^3x+1 =25^x+2 is_​

Answer 1

Answer:

Given that, 53x–1 ÷ 25 = 125 ∵ 25 = 5 × 5 = 52 and 25 = 5 × 5 × 5 = 53 ∴ 53x–1 ÷ 52 = 53 Using the law of exponent, am/an = am-n ⇒ 53x-1-2 = 53 ⇒ 53x-3 = 53 Comparing both sides, 3x-3 = 3 ⇒3x = 6 ⇒x = 2 ∴ The value of x is 2Read more on Sarthaks.com - https://www.sarthaks.com/856098/if-5-3x-1-25-125-find-the-value-of-x