log 1.2+ log 0.5625 - log 6.75
Question
log 1.2+ log 0.5625 - log 6.75
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Solution
Sure, I can help with that. The properties of logarithms state that the sum of two logarithms is equal to the logarithm of their product, and the difference of two logarithms is equal to the logarithm of their quotient. So, we can rewrite the expression as follows:
log 1.2 + log 0.5625 - log 6.75 = log (1.2 * 0.5625) - log 6.75 = log (0.675) - log 6.75 = log (0.675 / 6.75) = log 0.1
The logarithm of 0.1 to the base 10 is -1. So, the answer is -1.
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