SOLUTION: simplify by using logarithmic law: log1 to the base e + 3log10 to the base 10 - log32 to the base 2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: simplify by using logarithmic law: log1 to the base e + 3log10 to the base 10 - log32 to the base 2      Log On


   

Question 852054: simplify by using logarithmic law:
log1 to the base e + 3log10 to the base 10 - log32 to the base 2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
log1 to the base e + 3log10 to the base 10 - log32 to the base 2
ln%281%29+%2B+3log%2810%29+-+log%282%2C32%29
the nat log of 1 = 0 so we can ignore that.
3log%2810%29+-+log%282%2C32%29
log%2810%5E3%29+-+log%282%2C32%29
log%281000%29+-+log%282%2C32%29
we know the log of 1000 is 3
3+-+log%282%2C32%29
we know that 32 = 2^5, therefore
3 - 5 = -2