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1 vote
5^x-3=1/25

{5}^(x - 3) = (1)/(25)

1 Answer

2 votes
The first step for solving this is to write the expression on the right side of the equation in exponential form.

5^(x-3) = 5^(-2)
Since the bases are the same,, set the exponents equal to each other.
x - 3 = -2
Now move the constant to the right side and then change its sign.
x = -2 + 3
Now calculate the sum to get your final answer.
x = 1
This means that the correct answer to your equation is going to be x = 1.
Let me know if you have any further questions.
:)
User Mythriel
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