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27 votes
27 votes
25
25^x=125^x^+^3 = 125x + 3

User JChrist
by
2.9k points

2 Answers

19 votes
19 votes

Answer:

x is -9

Explanation:

User Veridian
by
2.9k points
12 votes
12 votes

Answer:

x = -9

Explanation:

25^x = 125 ^(x+3)

Rewriting

5^2^x = 5^3^(x+3)

We know a^b^c = a^(b*c)

5^(2x) = 5^(3(x+3))

5^(2x) = 5^(3x+9)

The bases are the same so the exponents are the same

2x = 3x+9

Subtract 3x from each side

2x-3x = 3x+9-3x

-x =9

x = -9

User Binder
by
3.2k points