625^x = 25/5^x find x

 

Asked by 189477275162783 | 16th Mar, 2018, 03:56: PM

Expert Answer:

begin mathsize 16px style 625 to the power of straight x equals 25 over 5 to the power of straight x
rightwards double arrow 625 to the power of straight x cross times 5 to the power of straight x equals 25
rightwards double arrow 5 to the power of 4 cross times 5 to the power of straight x equals 5 squared
rightwards double arrow 5 to the power of 4 plus straight x end exponent equals 5 squared
rightwards double arrow 4 plus straight x equals 2
rightwards double arrow straight x equals negative 2 end style

Answered by Rashmi Khot | 16th Mar, 2018, 04:16: PM