Question

Find x if :
5^x + 5^x+1 = 5^3 x 30​

Answer 1

5 raise to x +5 raise to x+1 =5 raise to 3 × 30

equating the degrees

5^x+x+1=5^3 × 30

5^2x+1 = 5^3 × 30

again equating the degrees we get ,

2x+1=3

2x=3-1

2x=2

x=2

Therefore value of x is 2