Laws of Logarithms

Laws of Logarithms:
1. log
a(u v) = loga(u) + loga(v) {The log of a product equals the sum of the logs.}
2. log
a(u/v) = loga(u) - loga(v) {The log of a quotient equals the difference of the logs.}
3. log
a(ur ) = r loga (u)

Use the above properties of logarithms to write
log
ax +2 loga (y+1) - 3 loga z as the logarithm of a single quantity.

logax +2 loga (y+1) - 3 loga z = Show work. Apply the third law to the last two terms.

 

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