Express the given quantity as a single logarithm.?

0 ⤊

ln(2) + 2ln(3)

2007-11-26 14:48:26 · 2 answers · asked by Anonymous in Education & Reference ➔ Homework Help

ln ( AB ) = ln A + ln B

and

ln ( A ^ B ) = B ln A

so

ln ( 2 ) + 2 ln ( 3 )
ln ( 2 ) + ln ( 3 ^ 2 )
ln ( 2 * ( 3 ^ 2 ) )

2007-11-26 14:55:20 · answer #1 · answered by jgoulden 7 · 0⤊ 0⤋

2ln(3) = ln(2^3)
ln(2) + ln(2^3) = ln(2*2^3)
ln(2*2^3) = ln(2^4)
ln(2^4) = ln(16)

2007-11-26 22:53:05 · answer #2 · answered by Dan M 1 · 0⤊ 0⤋