Solving Logarithmic Equations Using Technology

8 September 2022
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9 test answers

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question
Which system of equations could be graphed to solve the equation below? log0.5 X = log3 2+X
answer
D) y1 = logx / log0.5, y2 = log2 / log3 + x
question
Which expression results when the change of base formula is applied to log4(x+2) ?
answer
A) log(x+2)/log4.
question
What is the approximate value of q in the equation below? q+log2 6 = 2q+2
answer
C) 0.585
question
Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below. log 1/4 / log12 Which expression could be Tyler's original expression?
answer
B) log12 1/4
question
Consider the equation below. log4 (x+3)=log2 (2+x) Which system of equations can represent the equation?
answer
A) y1 = log(x+3)/log4, y2 = log(2+x)/log2
question
Tenisha solved the equation below by graphing a system of equations. log3 5x=log5 (2x+8) Which point approximates the solution for Tenisha's system of equations?
answer
B) (1.0, 1.4)
question
Which system of equations could be graphed to solve the equation below? log(2x+1)=3x-2
answer
y1 = log(2x+1), y2 = 3x-2
question
Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a β‰  1 and b β‰  1? logax
answer
A) logbx/logba
question
What is the approximate value of x in the equation below. log3/4 25 = 3x-1
answer
A) -3.396