Ex 2: Solve Logarithmic Equations

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This video provides two basic examples of how to solve logarithmic equations.
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2:26
When you have a negative solution like X = -5, Do you reject it as a solution without first simplifying? I ask because I did the check, and once simplified, I got log base 10 of 10 equals 1 and I thought it would be solution.

Tayohni