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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`