SOLUTION: I need help with this as I cannot figure this out: Write the expression as the logarithm of a single number or expression with a coefficient of 1 assume all variables represent

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Question 465828: I need help with this as I cannot figure this out:
Write the expression as the logarithm of a single number or expression with a coefficient of 1 assume all variables represent positive numbers.
log5+log10-log2
A)log 9 B)log 4 c) log 25 d log 3
any help would be appreciated.
Answer by kingme18(98) About Me  (Show Source):
You can put this solution on YOUR website!
This question is basically asking you about two of the properties of logarithms, which I'm going to outline:

When two logarithms with the same base are added, you multiply the numbers: logA+%2B+logB+=+log%28AB%29+

When two logarithms with the same base are subtracted, you divide the numbers: logA+-+logB+=+log%28A%2FB%29

Note: The base would be the subscript after the word "log"; since it's not there, it's an implied 10.

Anyway...anything that's added will be multiplied, and anything that's subtracted will be divided. This means you can combine your expression into log%28%285%2A10%29%2F2%29=log%2850%2F2%29=log25...your answer is C.