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Question 1 of 5Solve each Equation
$$10^{4x}+4=71$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$x=\frac{4\log(10)}{71}$$
B
$$x=\frac{\log(4)}{67}$$
C
$$x=\frac{\log(67)}{4}$$
D
$$x=\frac{\log(4)}{\log(67)}$$
E
$$x=\log(67)$$
Question 2 of 5Solve each Equation
$$-6e^{3-x}-8=-14$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$x=3$$
B
$$x=-7$$
C
$$x=\frac{\ln(6)}{\ln(5)}$$
D
$$x=\frac{\ln(12)}{\ln(5)}$$
E
No Solution
Question 3 of 5Solve each Equation
$$\log_{6}(x+4)-\log_{6}(x-1)=1$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$x=-11$$
B
$$x=2$$
C
$$x=\frac{11}{3}$$
D
No Solution
E
$$x=\frac{3}{7}$$
Question 4 of 5Solve each Equation
$$\log_{8}(x+5)-\log_{8}(x-2)=\log_{8}(57)$$ $$\log_{8}(x+5)\hspace{.25em}-$$$$\log_{8}(x-2)\hspace{.25em}=$$$$\log_{8}(57)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
No Solution
B
$$x=-5$$
C
$$x=4$$
D
$$x=-\frac{7}{8}$$
E
$$x=\frac{17}{8}$$
Question 5 of 5Solve each Equation
$$\log_{9}(6-3x)+\log_{9}(7)=\log_{9}(45)$$ $$\log_{9}(6-3x)\hspace{.25em}+$$$$\log_{9}(7)\hspace{.25em}=$$$$\log_{9}(45)$$
Finish »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$x=-2$$
B
$$x=-5$$
C
$$x=7$$
D
$$x=\frac{3}{7}$$
E
$$x=-\frac{1}{7}$$

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