Question-61030

Question Number 61030 by aanur last updated on 28/May/19

Commented by prakash jain last updated on 28/May/19

x^{2} = 3 \sqrt{3}

x^{4} = 9 \times 3 = 27 = 3^{3} \Rightarrow x = 3^{3 / 4}

y^{2} = 9^{3} \sqrt{3}

y^{4} = 9^{6} \times 3 = 3^{12} \times 3 = 3^{13} \Rightarrow y = 3^{13 / 4}

\log_{x} y = \log_{3^{3 / 4}} 3^{13 / 4} = \frac{13}{4} \log_{3^{3 / 4}} 3

= \frac{13}{4} \times \frac{4}{3} \log_{3} 3 = \frac{13}{4}

Commented by aanur last updated on 28/May/19

t h a n k y o u s o m u c h s i r

Facebook Tweet Pin