book Maths Puzzle Numerical Ability

I do not understand how to do this. I have gone over it several times and cannot figure out the process. I need to decide all values of b that will give one or more real number s

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ln(1/x)+lnx=0 I have no idea if this one is right. I have to see if it is true or false. Do you know? Thank you. an oil painting is 16 years older than a water color by the same artist. the oild painting is also three times older than the watercolor. how old is each?