Expand the following logarithmic expression in to a sum (or) differences of logs
log(^3√ab^2)^5/c^4
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You are multiplying two factors in the argument. So we add the logs.
log(x4y3) + log((x2y5)1/3)
log(x4y3) + log(x2/3y5/3)
For each log term. The arguments are being multiplied. So we further add the logs. Also, any exponents becomes of the coefficients of logs.
4log(x) + 3log(y) + (2/3)log(x) + (5/3)log(y)
Combine like log terms.
(14/3)log(x) + (14/3)log(y)Answer:
Step-by-step explanation:
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