Question

Solve for 5^(x+1)=25

Answer 1

\[5^{x+1} = 5^2\]

Can you now equate the exponents to find the value of x??

Answer 2

x+1=2 so x=1

Answer 3

Oh so the bases cancel, and you set the exponents equal to each other? then solve?

Answer 4

the bases don't cancel out its a mathematical intuition that since the bases are same the exponents have to be same

Answer 5

See, they are equal so, bases are same then there must be condition that exponents must be same that is why they are equal...

Answer 6

Oh okay. Makes sense