The computer answer to "A Problem from Gaokao 2016" is wrong.

A Problem from Gaokao 2016 Algebra Level pending If a>b>1,0<c<1,

then alog (base b) of c < blog (base a) of c <---- Computer's answer (3rd choice down)

I did this: Suppose a = 9, b = 4, and c = 1/2.

Substitute these into the computer's alleged answer:

9log(base 4) of (1/2) versus 4log(base 9) of (1/2) ==>

9log(1/2)/log(4) versus 4log(1/2)/log(4) ==>

9/log(4) versus 4/log(9) ==>

9log(9) versus 4log(4)

9log(9) is NOT less than 4log(4)

#Algebra

Easy Math Editor

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$