Asked by lana
Simplify the following expression
5lnx - 1/2 lny + 3 lnz
5lnx - 1/2 lny + 3 lnz
Answers
Answered by
MathMate
Since
ln(a)+ln(b) = ln(ab)
ln(a)-ln(b) = ln(a/b)
(1/2)ln(a) = ln(sqrt(a), and
3ln(a) = ln(a<sup>3</sup>)
5 ln(x) = ln(x<sup>5</sup>)
-(1/2)ln(y) = ln(1/sqrt(y))
3 ln(z) = ln(z<sup>3</sup>)
So
5lnx - 1/2 lny + 3 lnz
=ln(x<sup>5</sup> * 1/sqrt(y) * ... )
Can you now complete the answer and simplify?
ln(a)+ln(b) = ln(ab)
ln(a)-ln(b) = ln(a/b)
(1/2)ln(a) = ln(sqrt(a), and
3ln(a) = ln(a<sup>3</sup>)
5 ln(x) = ln(x<sup>5</sup>)
-(1/2)ln(y) = ln(1/sqrt(y))
3 ln(z) = ln(z<sup>3</sup>)
So
5lnx - 1/2 lny + 3 lnz
=ln(x<sup>5</sup> * 1/sqrt(y) * ... )
Can you now complete the answer and simplify?
Answered by
lana
Mathmate - Yes, I can thank you!
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