Using logarithm properties there are multiple ways of expressing the same transformations on a parent function. Given g(x) = 8 log[2(x)], find equivalent functions in the following forms. Round values to 4 decimal places where appropriate. a. g(x) = logb(x) + c b. g(x) = log[k(x)] c. g(x) = log[k(x)] Not all logarithmic and exponential equations can be solved algebraically. Use technology to solve the equation 32x-3 = log₂ (2x) to 4 decimal places. Include a sketch

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.3: Logarithmic Functions
Problem 2SE: How is the logarithmic function f(x)=logb(x) related to the exponential function g(x)=bx ? Whatis...
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Using logarithm properties there are multiple ways of expressing the same
transformations on a parent function. Given g(x) = 8 log[2(x)], find equivalent functions
in the following forms. Round values to 4 decimal places where appropriate.
a. g(x) = log₁(x) + c
b.
g(x) = logħ[k(x)]
g(x) = log[k(x™)]
c.
Not all logarithmic and exponential equations can be solved algebraically. Use
technology to solve the equation 32x-3 = log₂ (2x) to 4 decimal places. Include a sketch
Transcribed Image Text:Using logarithm properties there are multiple ways of expressing the same transformations on a parent function. Given g(x) = 8 log[2(x)], find equivalent functions in the following forms. Round values to 4 decimal places where appropriate. a. g(x) = log₁(x) + c b. g(x) = logħ[k(x)] g(x) = log[k(x™)] c. Not all logarithmic and exponential equations can be solved algebraically. Use technology to solve the equation 32x-3 = log₂ (2x) to 4 decimal places. Include a sketch
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