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How expand `ln(sqrt(3x-5)/(7))` ?

How expand `ln(sqrt(3x-5)/(7))` ?

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How expand `ln(sqrt(3x-5)/(7))` ?

Postby admin » Mon 14 March, 2011 10:12

To expand `ln(sqrt(3x-5)/(7))` using property of logarithmic expression we proceed as follow:

`ln(sqrt(3x-5)/(7))`= `ln[(3x-5)^(1/2)/7]`
=`ln(3x-5)^(1/2)-ln7`
=`1/2ln(3x-5)-ln7`
and that is the final answer.

How to type:
to type `ln(4/5)` it is simply \`ln(5/4)\`
to type `x^(1/2)` for the power we type \`x^a\` will show `x^a` and in order to have fraction in the power we have to open (1/2). Here `x^(1/2)` should be typed as \`x^(1/2)\` .
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