CPM Homework Help : PC Problem 5-63

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5-63.

There is an error in each of these equations. Explain the error in each case then correct it.

$\log 4 + \log 5 = \log 9$
Hint (a):
$4$ and $5$ should be multiplied, not added.

$\log_{3} 7 + \log_{3} 7 = \log_{6} 49$
Hint (b):
The base should not change.

$\log\left(4 · 5\right) = \left(\log 4\right)\left(\log 5\right)$
Hint (c):
The log of a product is the SUM of the logs.

$\log\left(4 + 5\right) = \log 4 + \log 5$
Hint (d):
There is no rule for $\log\left(4 + 5\right)$ . Just add them.

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