How do you solve #5^(x+1) = 125#?

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Answer 1 · 2016-03-11T13:39:58

#color(blue)(x=2#

#5^(x+1) = 125#

#125# can be simplified by prime factorisation:

#color(green)(125 =5*5*5 = 5^3#

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

As the bases are equal we can equate the powers:

#x+1 =3#

#x=3-1#

#color(blue)(x=2#