(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve for x: log(x+5)= log x + log 5.

2. Relevant equations

log a + log b = log (ab)

3. The attempt at a solution

log (x+5)= log (5x)

x+5= 5x

4x=5

x=5/4

However, my question is: When you make the logs to the power of 10, to eliminate them, do you always need to do it to BOTH sides? Does that rule imply for any log? For example, if you want to log a number, do you need to do it to both sides? Do these kind of procedures all work the same as "Whatever you do to one side of the equation, you must do to the other?"

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# Homework Help: Log Problem

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