Solve the equation $$\(\ln \left(x^{3}-3\right)=3 \ln x-\ln 3\)$$. Give your answer correct to 3 significant figures. ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................
Exam No：9709_m21_qp_32 Year：2021 Question No：1
Answer:
Use law of the logarithm of a product or power
Obtain a correct equation free of logarithms, e.g. \(3\left(x^{3}-3\right)=x^{3}\)
Obtain \(x=1.65\)
Obtain a correct equation free of logarithms, e.g. \(3\left(x^{3}-3\right)=x^{3}\)
Obtain \(x=1.65\)
Knowledge points:
3.2.1 understand the relationship between logarithms and indices, and use the laws of logarithms (excluding change of base)
Solution:
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