Question

if 5^3x+4 = 25×5^4x-1, then value of x is​

Answer 1

Answer:

25^(x-4)=5^(3x+1)

(52)^(x-4)=5^(3x+1)

5^(2x-8)=5^(3x+1)

2x-8=3x+1

2x-3x=8+1

-x=9

x=-9

check...

25^(-9-4)=5^(3(-9)+1)

25^(-13)=5^(-27+1)

25^(-13)=5^(-26)

(52)^(-13)=5^(-26)

5^(-26)=5^(-26