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# MAT Multiple Choice Question

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1. I've used change the base rule to prove that it's greater than 0.6, but don't know if the answer is b or e.

Could someone help with a solution to this question?

2. all logs base 3

take logs of all
2<4log2<3<5log2<4

divide by 4
0.5<log2<0.75<whatever<1

divide by 5
0.4<whatever<0.6<log2<0.8

our best lower bound is 0.6, our best upper bound is 0.75
so it's 0.6<log2<0.75 (e)
3. (Original post by ValerieKR)
all logs base 3

take logs of all
2<4log2<3<5log2<4

divide by 4
0.5<log2<0.75<whatever<1

divide by 5
0.4<whatever<0.6<log2<0.8

our best lower bound is 0.6, our best upper bound is 0.75
so it's 0.6<log2<0.75 (e)
Simple and quick method to solving the problem. Thanks you

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