Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Evaluate logarithmic expressions if possible.

4lnx-1/5lny = ?

Question

Use properties of logarithms to condense the logarithmic expression.  Write the expression as a single logarithm whose coefficient is 1.  Evaluate logarithmic expressions if possible.

4lnx-1/5lny = ?

jhonyy9 · Answer

do you know the proprties of logarithms ?

jhonyy9 · Answer

loga +logb= ?

jhonyy9 · Answer

and loga -logb= ?

jhonyy9 · Answer

and 2loga +3logb= ?

jhonyy9 · Answer

so loga +logb=log(a*b)

loga-logb=log(a/b)

2loga +3logb=loga^2 +logb^3 =log((a^2)*(b^3))

ok ?

anonymous · Answer

Yes, that makes sense

anonymous · Answer

So would it be...
     ln((x^4/lny^1/5))     
            ??

jhonyy9 · Answer

how you have got it ?

jhonyy9 · Answer

so if there are 4lnx so this will be lnx^4 yes ?

jhonyy9 · Answer

and 1/5lny =lny^(1/5)

yes ?

jhonyy9 · Answer

and you know again that lna -lnb=ln(a/b)

jhonyy9 · Answer

so than what will be the right answer ?

jhonyy9 · Answer

came on ,please !!!

jhonyy9 · Answer

your answer is aproximatly right just can you tel me why you have wrote the ln on denominator too ?

anonymous · Answer

I was just trying to apply the rules you mentioned.  Would it just be ln((x^4/y^1/5))?

anonymous · Answer

Sorry, trying to write down all the differant rules for notes...

jhonyy9 · Answer

yes ,right sure because lna -lnb not is equal lna/lnb ... so this is equal ln(a/b)

ok ?

anonymous · Answer

Yes...ty

jhonyy9 · Answer

yw

was my pleasure

good luck

bye