Question

5^3x + 1 = 25^x + 1

Answer 1

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

Create equivalent expressions in the equation that all have equal bases.
5^(3x+1)=5^(2(x+1))

Since the bases are the same, then two expressions are only equal if the exponents are also equal.
(3x+1)=2(x+1)
solve it
3x+1=2(x+1)

3x+1=2x+2

x+1=2

x=1

Answer 2

\[5^3x+1=25^x1^x\25
\[25^x-5^3x=1+1\]
52x-53x=2
x=2