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)   (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:

When two logarithms with the same base are subtracted, you divide the numbers:

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 ...your answer is C.

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