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(1 point) If log p = x and log q = y, evaluate the following in terms of x and y: (a) log (p³q−¹) = (b) log √p-8q-8 (c) log (d) p 9² log på log q4 = = (e) (log p¹)¹ = =

(1 point) If log p = x and log q = y, evaluate the following in terms of x and y: (a) log (p³q−¹) = (b) log √p-8q-8 (c) log (d) p 9² log på log q4 = = (e) (log p¹)¹ = =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Exercise on Logarithms** (1 point) If \( \log p = x \) and \( \log q = y \), evaluate the following in terms of \( x \) and \( y \): (a) \( \log \left( p^8 q^{-1} \right) = \) (b) \( \log \sqrt{p^{-8} q^{-8}} = \) (c) \( \log \frac{p^{-9}}{q^2} = \) (d) \( \frac{\log p^8}{\log q^4} = \) (e) \( (\log p^1)^1 = \)
Transcribed Image Text:**Exercise on Logarithms** (1 point) If \( \log p = x \) and \( \log q = y \), evaluate the following in terms of \( x \) and \( y \): (a) \( \log \left( p^8 q^{-1} \right) = \) (b) \( \log \sqrt{p^{-8} q^{-8}} = \) (c) \( \log \frac{p^{-9}}{q^2} = \) (d) \( \frac{\log p^8}{\log q^4} = \) (e) \( (\log p^1)^1 = \)
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