Solving Logarithmic Equations using Technology Answers
–2.8760–0.34770.71241.3738
2.3219–0.4307–2.32190.4307
The expression is the result of applying the change of base formula to a logarithmic expression. Which could be the original expression?
Which graph shows the solution to the equation log2(3x – 1) = 2?
Graph a system of equations to approximate the value of x, the rate of depreciation. Give your answer as a percent.
What are the approximate solutions of the equation? Check all that apply.
x ≈ and x ≈ .
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0.2
Elsa tries to solve the following equation, and determines there is no solution. Is she correct? Explain. log2x = log2(3x + 5) + 4
Using the change-of-base formula, graph y = ln(x)/ln(2) and y = ln(3x + 5)/ln(2) + 4. The graphs do not intersect. Algebraically, the equation gives x = -80/47, which is outside the domain x > 0. Therefore, the equation has no solution, and Elsa is correct.
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