SOLUTION: Condense the expression to the logarithm of a single quantity 2 ln(6) + 2 ln(z)

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Question 243038: Condense the expression to the logarithm of a single quantity
2 ln(6) + 2 ln(z)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2+ln%286%29+%2B+2+ln%28z%29 Start with the given expression.


ln%286%5E2%29+%2B+ln%28z%5E2%29 Use the identity y%2Aln%28x%29=ln%28x%5Ey%29


ln%2836%29+%2B+ln%28z%5E2%29 Square 6 to get 36


ln%2836z%5E2%29 Combine the logs using the identity ln%28A%29%2Bln%28B%29=ln%28A%2AB%29


So 2+ln%286%29+%2B+2+ln%28z%29=ln%2836z%5E2%29