The variables $$\(x\)$$ and $$\(y\)$$ satisfy the equation $$\(x=A\left(3^{-y}\right)\)$$, where $$\(A\)$$ is a constant. It is given that the line intersects the $$\(y\)$$-axis at the point where $$\(y=1.3\)$$. Calculate the value of $$\(A\)$$, giving your answer correct to 2 decimal places. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No:9709_s21_qp_32 Year:2021 Question No:3(b)
Answer:
Substitute \(\ln x=0, y=1.3\) and use correct method to solve for \(A\)
Obtain answer \(A=4.17\) only
Obtain answer \(A=4.17\) only
Knowledge points:
3.2.1 understand the relationship between logarithms and indices, and use the laws of logarithms (excluding change of base)
3.2.4 use logarithms to transform a given relationship to linear form, and hence determine unknown constants by considering the gradient and/or intercept.
Solution:
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