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To solve this inequality, we need to isolate the variable x.
First, we can simplify the left side by using the exponent rule that says a^m / a^n = a^(m-n).
So, we have:
5^(x-1) < 25
Next, we can write 25 as 5^2, since 5^2 = 25.
So, we have:
5^(x-1) < 5^2
Now we can use the property that if a^x < a^y, then x < y.
So, we can conclude:
x-1 < 2
Adding 1 to both sides, we get:
x < 3
Therefore, the solution to the inequality is:
x < 3.
First, we can simplify the left side by using the exponent rule that says a^m / a^n = a^(m-n).
So, we have:
5^(x-1) < 25
Next, we can write 25 as 5^2, since 5^2 = 25.
So, we have:
5^(x-1) < 5^2
Now we can use the property that if a^x < a^y, then x < y.
So, we can conclude:
x-1 < 2
Adding 1 to both sides, we get:
x < 3
Therefore, the solution to the inequality is:
x < 3.
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Хороший ответ
16 июня 2023 03:21
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