How do you combine like terms in #3\log x + \log _ { 4} - \log x - \log 6#?

1 Answer
Dean R.
Apr 18, 2018

Applying the rule that the sum of logs is the log of the product (and fixing the typo) we get #log frac{2x^2}{3}#.

Explanation:

Presumably the student meant to combine terms in

# 3 log x + log 4 - log x - log 6#

# = log x^3 + log 4 - log x - log 6 #

# = log \frac{ 4x^3}{6x} #

#= log frac{2x^2}{3}#

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