Solving Equations using Properties of Logarithms assignment

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7 Terms

1
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Solve the equation log4(x + 20) = 3x =

Solve the equation log6(13 - x) = 1.x =

X = 44

X=7

2
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Order the steps to solve the equationlog(x2 − 15) = log(2x) form 1 to 5.

2

5

1

4

3

3
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Find the potential solution to the equationlog4(2 - x) = log4(-5x - 18).x =

Which statement is true about the potential solution x = -5?

x=-5

This number is a true solution of the original equation.

4
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Which is the only solution to the equationlog3(x2 + 6x) = log3(2x + 12)?

x=2

5
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1) Which shows the first step in the solution to the equation log2x + log2(x - 6) = 4?

2) Which equation can you solve to find the potential solutions to the equationlog2x + log2(x - 6) = 4?

3) The solution to the equationlog2x + log2(x - 6) = 4 is x =

1) log2[x(x - 6)] = 4

2) x^2 - 6x - 16 = 0

3) 8

6
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1) What are the solutions tolog3x + log3(x2 + 2) = 1 + 2log3x?

2) What is the solution tolog7(x - 4) = log7(4x + 5) ?

1) C, D

2) E There is no solution.

7
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1) List the potential solutions to 2log x − log3 = log3 from least to greatest

2) Which statement about the potential solutions to 2log x − log3 = log3 is true?

1) -3, and 3

2) Only -3 is an extraneous solution.

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