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Laws of logarithms: Product and Quotient Laws of Logarithms

Answer Text:
Laws of logarithms:
Product and Quotient Laws of Logarithms.
#log_a (M X N)# = #log_a M + log_a N# - The Product Law
#log_a(M/N)#=#log_a M - log_a N# - The Quotient Law:
Example:
Work out.
#log_6 9 + log_6 8 - log_6 2#

The Power Law of Logarithms
#log _a M^n = n log_a M#

Example:
Simplify 2log 5 + 2log 2

Logarithm of a Root:
#log_b x^(1/n) = 1/n log_b x#

Example Simplify
#log_3 root 5 27#