Rewriting expression of logarithm

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The expression log55x2 can be rewritten using logarithmic properties. Initially, it was attempted to express it as 2log55x, but this was incorrect. The correct approach involves separating the logarithm into a sum: log55 + log5x2. This simplifies further to 1 + 2log5x, providing the final rewritten expression. The discussion emphasizes the importance of understanding logarithmic addition and substitution for accurate transformations.
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Homework Statement


Rewrite the expression as a sum, difference or multiple of logs.

log55x2

Homework Equations





The Attempt at a Solution



log55x2 =
2log55x =
...
 
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That's not the right first, step. What do you know about the addition of logs? If that doesn't help, substitute a = 5 and b = x2 and re-ask my question.

The Bob
 
ooh~
log55 + log5x2 =
1+log5x2 =
1 + 2log5x2!
thank you so much
 
Make that 1 + 2log5x and you're there.
 

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