SOLUTION: "Rewrite the expression 3 ln(4) - 2 ( ln(10) - ln(2) ) in the form ln(x), a single logarithm (no decimals, of course). Simplify your answer to have NO negative exponents." I T

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: "Rewrite the expression 3 ln(4) - 2 ( ln(10) - ln(2) ) in the form ln(x), a single logarithm (no decimals, of course). Simplify your answer to have NO negative exponents." I T      Log On


   

Question 793445: "Rewrite the expression 3 ln(4) - 2 ( ln(10) - ln(2) ) in the form ln(x), a single logarithm (no decimals, of course).
Simplify your answer to have NO negative exponents."
I Tried:
3 ln(4)-2(ln(10)-ln(2))
ln(4)^3 - ln(10/2)^2
ln(64)-ln(5)^2
ln (64)-ln(25)
ln(39). This was incorrect
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3*ln(4) - 2 ( ln(10) - ln(2) )

3*ln(4) - 2 ( ln(10/2) )

3*ln(4) - 2 ( ln(5) )

3*ln(4) - 2*ln(5)

ln(4^3) - ln(5^2)

ln(64) - ln(25)

ln(64/25) ... See note below

Note: This is where you made the mistake. You used the rule ln(x)-ln(y) = ln(x/y) improperly