If x > 1, Y > 1 and lgx + lgY = 4, then the maximum value of lgx · lgY is? | Math enthusiast | Mathematical art

If x > 1, Y > 1 and lgx + lgY = 4, then the maximum value of lgx · lgY is?

For two positive numbers, (a + b) / 2 > = radical ab
If Ab1. Y > 1, then lgx > 0, lgY > 0
So, lgx * lgY

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