SOLUTION: A) log5 27*log2 25+log3 16 (B) logm m3 + logo k4 - logp p (C) log500 - log5- log10^3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: A) log5 27*log2 25+log3 16 (B) logm m3 + logo k4 - logp p (C) log500 - log5- log10^3       Log On


   

Question 1153153: A) log5 27*log2 25+log3 16
(B) logm m3 + logo k4 - logp p
(C) log500 - log5- log10^3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
A)
log%285%2C+27%29%2Alog%282%2C+25%29%2Blog%283%2C+16%29
=%28log%28+27%29%2Flog%285%29%29%2A%28log%2825%29%2Flog%282%29%29%2Blog%28+16%29%2Flog%283%29
=
=%283log%28+3%29%2Flog%285%29%29%2A%282log%285%29%2Flog%282%29%29%2B4log%28+2%29%2Flog%283%29
=6log%28+3%29%2Flog%282%29%2B4log%282%29%2Flog%283%29
=
=%286log%5E2%283%29%2B4log%5E2%28+2%29%29%2F%28log%283%29log%282%29%29
=12.035

(B)
log%28m%2C+m%5E3%29+%2B+log%28+k%2C4%29+-+log%28p%2C+p%29...............log%28p%2C+p%29=1
log%28m%5E3%29%2Flog%28m%29+%2B+log%28+2%5E2%29%2Flog%28+k%29+-1
3log%28m%29%2Flog%28m%29+%2B+2log%28+2%29%2Flog%28+k%29+-1
3cross%28log%28m%29%29%2Fcross%28log%28m%29%29+%2B+2log%28+2%29%2Flog%28+k%29+-1
3+%2B+2log%28+2%29%2Flog%28+k%29+-1
2+%2B+2log%28+2%29%2Flog%28+k%29+

(C)
log%28500%29+-+log%285%29-+log%2810%5E3%29
log%285%2A100%29+-+log%285%29-+3log%2810%29
log%285%2A10%5E2%29+-+log%285%29-+3log%2810%29
log%285%29%2Blog%2810%5E2%29+-+log%285%29-+3%28log%2810%29%29
cross%28log%285%29%29%2B2log%2810%29+-+cross%28log%285%29%29-+3%28log%2810%29%29
2log%2810%29+-+3%28log%2810%29%29
-+%28log%2810%29%29
-+%28log%282%2A5%29%29
-+%28log%282%29%2Blog%285%29%29