Solve the equation $\log ( 1 - x ) = \log ( 100 )$ for x using the One-to-One Property.
A)-101
B)-1
C)The equation has no solution.
D)-99
E)101

Name: Solve the equation $\log ( 1 - x ) = \log ( 100 )$ for x using the One-to-One Property. A)-101 B)-1 C)The equation has no solution. D)-99 E)101
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Question

Quizplus · Accepted Answer

Using the One-to-One Property of logarithms, if $\log(a) = \log(b)$, then $a = b$. Therefore, $1 - x = 100$. Solving for $x$, we get $x = 1 - 100 = -99$.

Solve the Equation log⁡(1−x)=log⁡(100)\log ( 1 - x ) = \log ( 100 )log(1−x)=log(100)

Solve the Equation $\log ( 1 - x ) = \log ( 100 )$