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Logarithms and Exponential Graphs
Rewriting Logarithms and Exponentials
Solving Exponential Equations
Solving Logarithmic Equations
100
Describe the transformation of the exponential function f(x)=4^(x-3).
The graph is shifted three units to the right from the parent function.
100
Write the exponential equation 4^5= 1,024 in logarithmic form.
What is log (base 4) 1,024 = 5 ?
100
Solve: 8^(2x)=8^(x+7)
What is x=7?
100
Solve: log(base 1/7)(7x+3)=log(base 1/7)(2x+13)
What is x=2
200
What is the asymptote of the exponential graph y=-2^(x-3)+5?
What is y=5.
200
Write the exponential equation 27^ (1/3) = 3 in logarithmic form.
What is log (base 27) 3 = 1/3 ?
200
Solve: 25^(x-4)=5^(3x+1)
What is x=-9 ?
200
Solve: log (base 3) x = 5
What is x = 243 ?
300
What is the asymptote of the graph of f(x)= log(x + 2) -1 ?
What is x=-2.
300
Write the exponential equation (1/2)^-3=8 in logarithmic form.
What is log (base 1/2) 8 = -3
300
Solve: e^(2x)=e^(x+4)
What is x=4?
300
Solve: log(base 5)25^(3x)
What is 6x
400
What is the transformation of the graph y=-log(base 4)2x-1?
What is reflected over the x-axis, horizontal shrink of 2, and moved down 1 unit.
400
Expand ln(x^2y)^(1/3)
What is (2/3)lnx + (1/3)lny
400
Solve: 2ln(x+3)=ln(13x+3)
What is x=6 and x=1.
400
Solve: 2log(base 6)2=log(base 6)(4x+6)
What is x=-1/2.
500
What are the guide points for the exponential function 4(1/2)^(x-1)+1?
What is (0,1) ,(1, 1/2), and (-1,2).
500
Condense log2x+log3x-logx into one log expression.
What is log(6x)
500
Solve: 16^(x+1)=64^(2x+1)
What is x=-1/4
500
Solve: (1/2)^log(base 2)x
What is (1/x).