6. Answer the following; note that a specific example can disprove but a specific example doesn't...

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6. Answer the following; note that a specific example can disprove but a specific example doesn't prove; assume all bases and arguments are legitimate. 6.1 If y = A² where z = log (x), without using the change of base formula, prove y=x 6.2 Prove the change of base formula, namely, if y = log (B), then y = In(B)/In(A) 6.3 If y = log (A), prove y = 1 without using the change of base formula 6.4 Determine if there exists an x, such that In(x²) = (In(x))² 6. Answer the following; note that a specific example can disprove but a specific example doesn't prove; assume all bases and arguments are legitimate. 6.1 If y = A² where z = log (x), without using the change of base formula, prove y=x 6.2 Prove the change of base formula, namely, if y = log (B), then y = In(B)/In(A) 6.3 If y = log (A), prove y = 1 without using the change of base formula 6.4 Determine if there exists an x, such that In(x²) = (In(x))²

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61 To prove that y x when y A and z logx lets substitute z logx into the equation y A We have y A an... View the full answer