Solve the equation $$\( \ln (x+1)-\ln x=2 \ln 2 . \)$$ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................
Exam No：9709_s20_qp_21 Year：2020 Question No：1
Answer:
Use correct logarithm property to produce one term on LHS
Use correct process to obtain equation without logarithms
Obtain \(\frac{x+1}{x}=4\) or equivalent and hence \(x=\frac{1}{3}\)
Use correct process to obtain equation without logarithms
Obtain \(\frac{x+1}{x}=4\) or equivalent and hence \(x=\frac{1}{3}\)
Knowledge points:
2.2.1 understand the relationship between logarithms and indices, and use the laws of logarithms (excluding change of base)
Solution:
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