QuestionJuly 23, 2025

Find the domain of y=log(1-5x) The domain is: square

Find the domain of y=log(1-5x) The domain is: square
Find the domain of y=log(1-5x)
The domain is: square

Solution
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Answer

The domain is: (-\infty, \frac{1}{5}) Explanation 1. Identify the condition for the logarithm The argument of the logarithm must be positive. So, 1 - 5x > 0. 2. Solve the inequality Solve 1 - 5x > 0: \[ 1 > 5x \] \[ x < \frac{1}{5} \]

Explanation

1. Identify the condition for the logarithm<br /> The argument of the logarithm must be positive. So, $1 - 5x > 0$.<br /><br />2. Solve the inequality<br /> Solve $1 - 5x > 0$: <br />\[ 1 > 5x \]<br />\[ x < \frac{1}{5} \]
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