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

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) (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

RELATED QUESTIONS
Rewrite the expression 3 ln(4) - 2 ( ln(10) - ln(2) ) in the form ln(x), a single... (answered by lwsshak3)

Rewrite the expression 3 ln(2) - 2 ( ln(10) - ln(4) ) in the form ln(x), a single... (answered by stanbon,josmiceli)

rewrite the expression as a single logarithm... (answered by rapaljer)

condense to the logarithm of a single expression ln x-2 ln y- ln... (answered by Alan3354,stanbon)

Rewrite the expression below as a single logarithm. Use x, y, and z in your answer as... (answered by MathLover1)

Write the expression below as a single logarithm. Please show all of your work.... (answered by KMST)

Rewrite the following expression as a single logarithm: 3 ln x-5 + ln... (answered by Marth)

Write the expression as a single logarithm. Express powers as factors. (Simplify your... (answered by jsmallt9)

Write the expression as the logarithm of a single quantity. 1/2 ln x+ 2 ln y- 3 ln z (answered by Alan3354)