SOLUTION: Write the expression as a logarithm of a single quantity
3/2[ln(x2+1)-ln(x+1)-ln(x-1)]
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Question 279768: Write the expression as a logarithm of a single quantity
3/2[ln(x2+1)-ln(x+1)-ln(x-1)]
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
We can use a property of logarithms, , to combine the first two logarithms:
We can use that property again to combine the remaining logarithms:
which simplifies as follows:
This is a single term and may be an acceptable answer. But your teacher probably wants you to use another property of logarithms, , to move the 3/2 from in front into the argument as an exponent:
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