Expand the logarithm fully using the properties of logs. Express the final answer in terms of log, xlogx.log, 7, x, cubedlog7x 3
Question
Expand the logarithm fully using the properties of logs.
Express the final answer in terms of
log, x log x, log 7, x, cubed log 7 x^3.
Solution
The given expression seems to be a bit unclear, but I'll assume you're asking to expand the logarithm of a product or a power, such as log(7x^3).
The logarithm of a product can be written as the sum of the logarithms of the individual factors, and the logarithm of a power can be written as the product of the exponent and the logarithm of the base.
So, if we have log(7x^3), we can expand it as follows:
log(7x^3) = log(7) + log(x^3)
Then, we can apply the power rule to log(x^3):
log(x^3) = 3 * log(x)
So, the fully expanded form of log(7x^3) is:
log(7) + 3 * log(x)
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