Rewriting expression of logarithm

AI Thread Summary
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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