Question

Chapter 5:Indices and Logarithms
@mathmath333

Answer 1

\[Given~\log _{x}p=3~and~\log _{x}q=5,\]find the value of:\[\log _{x}\frac{ \sqrt{p} }{ q }\]

Answer 2

\[p=x^3\]\[q=x^5\]\[\log _{x}\frac{ \sqrt{p} }{ q }=\log_{x}\frac{x^{3/2}}{x^5}=\log_{x}x^{\frac{ 3 }{ 2 }-\frac{ 10 }{ 2 }}=\log_{x} x^{\frac{-7}{2}}=\frac{-7}{2}\log_{x} x=\frac{-7}{2}\]

Answer 3

Thnx @Nishant_Garg

Answer 4

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