Question

Find the value of x in the following equation 25 to the power x-10 =(1/125)to the power 4x-2

Answer 1

Answer:

x= 13/7

Step-by-step explanation:

25^(x-10) = (1/125)^(4x-2)

fyi; 125² = 25³

similarly 125⁴=25^6

making all bases same

(25^x)/(25^10)={(1/25)^6x}/(1/25)²

25^ (x+6x) = 25^13

x+6x = 13

x = 13/7