No. 1 Find the value of x in the following equation: 2(4x + 1) = 1 No. 2   (a). What do you understand by the term "Logarithm of a number". (b). Write down a simple logarithmic equation (for instance, log4 y = 5). Use your own example. (c). State the exponential equation which is equivalent to the logarithmic equation which you have written in part (b). What are the: 'base' and 'index (power or exponent)'?  No. 3 (a). If the relationship between two variables p and q is given by: log4 (q + 6) = p; When p = 2; would you conclude that log q = 1? Give a reason for your conclusion by showing all your working, clearly, to support your answer/decision. Note: log means, logarithm to the base 10 (that is, log10) (b). If the demand function for a commodity is: p =       700  ; where p is the unit price and q is the number of units demanded.           ln (q + 1)   Determine how many units will be demanded at a unit price of $159.29?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
No. 1 Find the value of x in the following equation: 2(4x + 1) = 1 No. 2   (a). What do you understand by the term "Logarithm of a number". (b). Write down a simple logarithmic equation (for instance, log4 y = 5). Use your own example. (c). State the exponential equation which is equivalent to the logarithmic equation which you have written in part (b). What are the: 'base' and 'index (power or exponent)'?  No. 3 (a). If the relationship between two variables p and q is given by: log4 (q + 6) = p; When p = 2; would you conclude that log q = 1? Give a reason for your conclusion by showing all your working, clearly, to support your answer/decision. Note: log means, logarithm to the base 10 (that is, log10) (b). If the demand function for a commodity is: p =       700  ; where p is the unit price and q is the number of units demanded.           ln (q + 1)   Determine how many units will be demanded at a unit price of $159.29?
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