Worksheet by Kuta Software LLC Algebra 2 Expanding and Condensing Logarithms Condense each expression to a single logarithm 1) 3log 9 2 − 2log 9
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Worksheet by Kuta Software LLC Algebra 2 Expanding and Condensing Logarithms Condense each expression to a single logarithm 1) 15log 5 a + 3log 5
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Worksheet by Kuta Software LLC Algebra 2 Expanding and Condensing Logarithms Condense each expression to a single logarithm 1) 3log 9 2 − 2log 9
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Algebra 2Name___________________________________
Period____Date________________
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Condense each expression to a single logarithm.
1)3log92 -
2log952)
log6 x + log6 y + 6log6 z 3) 2log5 x +12log5
y4) log312 + log37 +4log35
5) log25 + log26 2 + log211 26)3log23 -
12log27
Expand each logarithm.
7) log
7 x4 y28) log7 2352
9) log3(
z 3 x × y)10) log5 a3 b311) log6
u v3)212) log412 ×
72)4©Q E2I0r1z4c KK7uft4aN gSwoQfqtDwLaSrIe0 3LkLTC4.G L UA8ljln rrbiQg3hKtWs7 jrpeDs7elrdvwePdg.t g dMNaadjeW NwPiGtUh1 GIdnqfdien5intZeW iAzllgieybyroad w2q.rWorksheet by Kuta Software LLC
Algebra 2Name___________________________________
Period____Date________________
©2 y250T1p4Y dKyurtGaQ WSzojfutDw4aqr3eH DLaL3Cz.I x kAzl4lB orHiJgQhptAsI ar4eFsbeirYvIeyd1.nExpanding and Condensing Logarithms
Condense each expression to a single logarithm.
1)3log92 -
2log95
log9 2352
2) log6 x + log6 y + 6log6 z log6( yx z6) 3) 2log5 x +
12log5
y log5( y12 x2) 4) log312 + log37 +4log35
log3(84 ×
54)5) log25 + log26 2 + log211 2 log2( 5 66) 6)
3log23 -
12log27
log2 33712
Expand each logarithm.
7) log
7 x4 y2 4log7 x - 2log7 y8) log7
2352