1. Solve 2^x=32 and rewrite this equation in a logarithmic form. 2. Analyze the characteristics exponential and logarithmic functions. Make sure you talk about domain and range. 3. Demonstrate...
1. Solve 2^x=32 and rewrite this equation in a logarithmic form. 2. Analyze the characteristics exponential and logarithmic functions. Make sure you talk about domain and range. 3. Demonstrate...
On a foggy night the intensity of light from an approaching car is drastically reduced. The distance away, d, in metres, is related to the intensity, I, by d=166.67log(1/125). What is the maximum...
1. Using complete sentences, explain the characteristics and parts of a logarithmic function and its graph. 2. Using complete sentences, explain the similarities and differences between...
Describe three characteristics of the function y=log4x that remain unchanged under the following transformations: a vertical stretch by a factor of 3 and a horizontal compression by a factor of 2...
The graphs of [y=log x + log (2x)] and [y=log (2x2)] are different. Although the graphs are different, simplifying the first expression using the laws of logarithms produces the second expression...
State the transformations, in proper order, that are needed to turn f(x)=4log3(x-2) into g(x)=-2log3(x+1)
For what value(s) of k will the following function have y-intercept of 1: f(x)=log4(-2x+k2)-1 Show Your Work
Multiple Choice of: a) 10 h b) 40 h c) 20 h d) 80 h
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a) 2x+1 = 3x-1 b) log(2x+1) + log(x-1)= log9
Evaluate lne6without using a calculator.
a bacteria grows according to the model N=Be^2t, where N is the number of bacteria after t hours and B is the initial number in the colony. how long does it take the colony to grow to 5 times its...
Climbing Mt. Everest is not an easy task! Not only is it a difficult hike, but the Earth’s atmosphere decreases exponentially as you climb above the Earth’s surface, and this makes it harder to breathe...
How long will it take?
Using logarithms solve.
2log3x−log3(x+4)=2 If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth, if needed. If there are multiple solutions, separate the answers with semicolons...
The Richter scale magnitude Rof an earthquake of intensity Iis defined as R=log(II0),where I0is a small threshold intensity. Find the magnitude of an earthquake with intensity 52,000,000I0.
Use a calculator to evaluate (log 5)× (ln 12).
Write log34916=2in exponential form.
Find the value of log5√1.