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Y and A Tutoring Paper 2 with Answers and Hints · Q18

Paper 2Powers & logarithms

Let a,b,c>0a,b,c>0. The equations:

log⁡ab=c and a=bc\log_a b=c\text{ and }a=b^c
Aspecify a,ba,b and cc uniquely
Bspecify cc uniquely but have infinitely many solutions for aa and bb
Cspecify aa and bb uniquely but have infinitely many solutions for cc
Dhave no solutions for a,ba,b and cc
ENone of the above

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