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Question 5 Solve each of the following equations, leaving your final answers as expressions involving natural logarithms in their simplest form. a) e 162x = b) e 1 8−2y− = c) 3e 20 882z− = d) e 5 32−3w+ = e) 2e 2 102 2t− + = x = 2ln2 , y = − ln3 , z = ln6 , w = − ln3 , t = + =1 ln2 ln 2e( )
- Mathematics Resources
A collection of exam questions on exponentials and...
- Mathematics Resources
Cheat sheets, worksheets, questions by topic and model solutions for Edexcel Maths AS and A-level Exponentials and Logarithms
The formula y = logb x is said to be written in logarithmic form and x = by is said to be written in exponential form. In working with these problems it is most important to remember that y = logb x and x = by are equivalent statements. Example 1 : If log4 x = 2 then x = 42 x = 16 Example 2 : We have 25 = 52. Then log 5 25 = 2. Example 3 : If ...
Written Response Question 1 Determine the values of and to derive the equation of the function. Show your reasoning. 𝑎 𝑘 (2 marks) Given a function , determine the equation of the inverse function , and state the 𝑓(𝑥) = 3(2) 𝑥 ‒1 𝑔(𝑥) domain, range, and equation of the asymptote of . (3 marks) 𝑔(𝑥)
Sample Exponential and Logarithm Problems 1 Exponential Problems Example 1.1 Solve 1 6 3x 2 = 36x+1. Solution: Note that 1 6 = 6 1 and 36 = 62. Therefore the equation can be written (6 1) 3x 2 = (62)x+1 Using the power of a power property of exponential functions, we can multiply the exponents: 63x+2 = 62x+2 But we know the exponential function ...
A collection of exam questions on exponentials and logarithms.
Logarithm and Exponential Questions With Answers and Solutions - Free download as Word Doc (.doc / .docx), PDF File (.pdf), Text File (.txt) or read online for free. The document provides 15 logarithmic equations with solutions.
