Math and Logarithmic Regression Quiz
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Questions and Answers

What is the inverse function of f(x) = 3log2(x) + 8?

$f^{-1}(x) = 2^{rac{x-8}{3}}$

Solve for x: $4 imes 2^{x+5} - 10 = 22$

$x = -9$

What is the logarithmic regression equation that models the situation of Johnny Manziel's rookie card value over games played?

a) $y = a + b imes ext{log}(x)$; b) 16 games

Explain the transformation from the function $f(x) = ext{log}_3(x)$ to $g(x) = ext{log}_3(81x)$.

<p>The transformation involves compressing the graph horizontally by a factor of 1/81.</p> Signup and view all the answers

Solve for x: $ ext{log}(39) + ext{log}(4x^2) = 6$

<p>$x = rac{3}{2}$</p> Signup and view all the answers

Find the inverse of $f(x) = ext{log}(3-x) + 2$. What is $f^{-1}(3)$?

<p>$f^{-1}(x) = 3 - 10^x$; $f^{-1}(3) = -7$</p> Signup and view all the answers

What is the value of A+C in the equation log logb/=Alog5+Blogz+Clogy?

<p>1</p> Signup and view all the answers

If f(x) = log4(æ-h) and x=4a, what is the value of f(x)?

<p>log4(0)</p> Signup and view all the answers

Which of the following statements is FALSE regarding the graphs of f(x) = log3x, f(x) = log2(3x), and f(x)=log2(2/3)?

<p>C) They all have the same domain.</p> Signup and view all the answers

What is a reasonable next step to solve the equation log6x=log6(5x-4)?

<p>B) Set x2 = 5x-4 and solve</p> Signup and view all the answers

In the transformation of the parent function y=gз(x), what does it mean if the function was shifted right 2?

<p>The parent function was shifted right 2.</p> Signup and view all the answers

What is the value of g(8) if h(x)=g(f(x)) and h(x) = 2-/65, 265, 25, 15 for selected values of x?

<p>265</p> Signup and view all the answers

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