SOLUTION: Write the expression as a sum, difference, or product if logarithms. Assume that all variables represent positive real numbers. loga(7x^6y)
Algebra
->
Logarithm Solvers, Trainers and Word Problems
-> SOLUTION: Write the expression as a sum, difference, or product if logarithms. Assume that all variables represent positive real numbers. loga(7x^6y)
Log On
Algebra: Logarithm
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on logarithm
Question 691846
:
Write the expression as a sum, difference, or product if logarithms. Assume that all variables represent positive real numbers.
loga(7x^6y)
Answer by
jim_thompson5910(35256)
(
Show Source
):
You can
put this solution on YOUR website!
Note: all logs written below are base 'a'
log(7x^6y)
log(7*x^6*y)
log(7) + log(x^6*y)
log(7) + [log(x^6*y)]
log(7) + [log(x^6) + log(y)]
log(7) + log(x^6) + log(y)
log(7) + 6*log(x) + log(y)
-------------------------------------------------------
Answer: log(7) + 6*log(x) + log(y)
Note: again, all logs on this page are base 'a'
(