Using numerical analysis and the Quotient Rule of Logarithms, how can log11(14/t) be rewritten?

1 answer

To rewrite the expression log11(14/t) using the Quotient Rule of Logarithms, we start by recalling the Quotient Rule, which states that:

logb(AB)=logb(A)logb(B)

In our case, we identify A=14 and B=t. Applying the Quotient Rule, we can break down the logarithm as follows:

log11(14t)=log11(14)log11(t)

Thus, the expression log11(14/t) can be rewritten as:

log11(14)log11(t)

This is the simplified form of the logarithmic expression using the Quotient Rule.