The domain of the function f(x) = log7{log3(log5(20x-x^2-91))} is
(a) (7, 13) (b) (8, 12) (c) (7, 14) (d) (12, 13)
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Answer:
b, (8,12)
Step-by-step explanation:
log7log3log5(20x-x²-91)
by definition of log,
log3log5(20x-x²-91)>0
log5(20x-x²-91)>1
20x-x²-91>5
20x-x²-96>0
x²-20x+96<0
x²-12x-8x+96<0
x(x-12)-8(x-12)<0
(x-8)(x-12)<0
x (8,12)
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Step-by-step explanation:
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