check mark
check mark
check mark
check mark
check mark
Question 1 of 5Expand each Logarithm
$$\log_{4}\left(\frac{x^2}{y}\right)^4$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$2\log_{4}(x)-6\log_{4}(y)$$
B
$$8\log_{4}(x)-4\log_{4}(y)$$
C
$$4\log_{4}(x)-2\log_{4}(y)$$
D
$$-\log_{4}(x)+8\log_{4}(y)$$
E
$$16\log_{4}(x)+\log_{4}(y)$$
Question 2 of 5Expand each Logarithm
$$\log_{4}(x^4 \cdot y)^5$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$20\log_{4}(x)+5\log_{4}(y)$$
B
$$4\log_{4}(x)-5\log_{4}(y)$$
C
$$-16\log_{4}(x)+5\log_{4}(y)$$
D
$$5\log_{4}(x)-20\log_{4}(y)$$
E
$$20\log_{4}(x)+\frac{\log_{4}(y)}{5}$$
Question 3 of 5Expand each Logarithm
$$\log_{6}\left(11^6\sqrt{8}\right)$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$11\log_{6}(8)+\frac{\log_{6}(2)}{22}$$
B
$$24\log_{6}(8)-\frac{4\log_{6}(3)}{11}$$
C
$$-4\log_{6}(8)-\frac{\log_{6}(11)}{2}$$
D
$$24\log_{6}(11)-4\log_{6}(8)$$
E
$$6\log_{6}(11)+\frac{3\log_{6}(2)}{2}$$
Question 4 of 5Condense each to a Single Logarithm
$$5\log_{4}(5)+\frac{\log_{4}(6)}{3}+\frac{\log_{4}(11)}{3}$$ $$5\log_{4}(5)+\frac{\log_{4}(6)}{3}$$$$+\hspace{.25em}\frac{\log_{4}(11)}{3}$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\log_{4}(5^3\sqrt[3]{33})$$
B
$$\log_{4}(5^5\sqrt[3]{66})$$
C
$$\log_{4}\left(\frac{5^3\sqrt[3]{20}}{11}\right)$$
D
$$\log_{4}(5^4\sqrt[3]{33})$$
E
$$\log_{4}\left(\frac{5^{11}\sqrt[3]{66}}{2}\right)$$
Question 5 of 5Condense each to a Single Logarithm
$$15\log_{4}(5)+15\log_{4}(3)-5\log_{4}(7)$$ $$15\log_{4}(5)+15\log_{4}(3)$$$$-\hspace{.25em}5\log_{4}(7)$$
Finish »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\log_{4}(231 \cdot 5^3)$$
B
$$\log_{4}\left(\frac{15^{15}}{7^5}\right)$$
C
$$\log_{4}\left(\frac{20^{15}}{14^4}\right)$$
D
$$\log_{4}(26 \cdot 3^5)$$
E
$$\log_{4}(5^4)$$

Great Job! You Passed!

Better Luck Next Time...

Trophy
Restart Quiz ↻
Review Lesson ↻
Next Lesson »