The solution of expression is 8log6.
There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
According to the problem, we will use some of the basic logarithmic properties,
We have been given that expression as
⇒ log6⁸ + 2log6³ + log6¹² - log6²⁴
[used property : logₐ(xⁿ) = nlogₐx]
⇒ 8log6 + 6×2log6³ + 12log6 - 24log6
⇒ 8log6 + 12log6³ + 12log6 - 24log6
⇒ 8log6
Hence, the solution is 8log6.
Learn more about the logarithmic properties here:
brainly.com/question/24211708
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