What do you do to get rid of subtraction to get rid of subtraction or addition inside of natural logs?
For example,
lna=2
lnb=3
lnc=5
ln(a-4/b^1c^2)=?
I can get it to be:
ln(a-4) - (lnb+2lnc)
Then I get stuck. I don't know what to do with the a-4 in that first log.
The answer to the problem is apparently -21, I don't understand how they got that.
Here is another problem:
lnx + lnx-3 =ln(2x)
x=?
Turns out x=5, but again now idea how they got that.
This is online homework in which showing work is not necessary, but I need to know how to do these problems.
Update:Please help explain how the answers were reached
Copyright © 2024 Q2A.ES - All rights reserved.
Answers & Comments
Verified answer
ln (a - 4) - ln b - 2 ln c = ln (a - 4) - ln (b / c^2) = ln ((a-4)*c^2 / b)
Logarithms is while the Multiplication is a shortcut for addition, e.g. 6 X 5 = 5+5+5+5+5+5 and additionally logarithm is a shortcut for exponents e.g. Exponents are a shortcut for multiplication, e.g. 6 to capacity of three = 4x4x4x4x4x4