Proofs Help (1 Viewer)

[Epicman69]

could some please prove: 10^9 < 9^10

 

[CM_Tutor]

I provided four possible approaches in a thread posted in 2020.

 

[Epicman69]

I provided four possible approaches in a thread posted in 2020.

Would methods that use the calculator be accepted in the HSC though? Cause I thought you'd need to prove it without evaluating anything, correct me if I'm wrong tho I have just begun this stuff lmao

 

[icycledough]

Would methods that use the calculator be accepted in the HSC though? Cause I thought you'd need to prove it without evaluating anything, correct me if I'm wrong tho I have just begun this stuff lmao

I don't think it would be appropriate to use a calculator and justify your answer by those means, as the question would be testing your knowledge and understanding of how to approach it. A calculator can confirm the result for you, but the working out should be a legitimate way (can be one of the 4 ways above).

 

[Epicman69]

I don't think it would be appropriate to use a calculator and justify your answer by those means, as the question would be testing your knowledge and understanding of how to approach it. A calculator can confirm the result for you, but the working out should be a legitimate way (can be one of the 4 ways above).

No like I meant, the 4 method provided all used the calculator as part of the solution for example, the binomial theorem ones given evaluated the binomial expansion of (1+1/9)^9, so would that be accepted?

 

[CM_Tutor]

No like I meant, the 4 method provided all used the calculator as part of the solution for example, the binomial theorem ones given evaluated the binomial expansion of (1+1/9)^9, so would that be accepted?

Proofs 2 and 3 can be completed without using a calculator by simply continuing in fractions and doing the calculations manually.