Given that $$\(2 \ln (x+1)+\ln x=\ln (x+9)\)$$, show that $$\(x=\sqrt{\frac{9}{x+2}}\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No:9709_m21_qp_22 Year:2021 Question No:5(a)
Answer:
Use the power law correctly
Use correct process to obtain equation with no logarithms
Confirm \(x=\sqrt{\frac{9}{x+2}}\)
Use correct process to obtain equation with no logarithms
Confirm \(x=\sqrt{\frac{9}{x+2}}\)
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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