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10. If $log_3x = 4$ and $log_3y = 2$, what is $log_3(x \times y)$? A. 6 B. 10 11. Solve for x in the equation $2^x = 16$. A. 2 B. 4 12. What is the common logarithm base of 1,000,000? A. 6 B. 4 13. Simplify $log_749^2$. A. 2 B. 8 14. If $log_2x + log_2y \ge 5$, what is the smallest value of x + y? A. 2 B. 5 15. Evaluate $log_8(\frac{1}{64})$. A. -2 B. 0 16. Evaluate and simplify the following expressions: ??? a) $log_3(\frac{\sqrt{5}}{\sqrt[4]{81}})$ b) $log_2(\frac{1}{8})$ c) $log16 + 3log(4)$ a) $log_x125 = \frac{-1}{5}$ ??

          10. If $log_3x = 4$ and $log_3y = 2$, what is $log_3(x \times y)$?
A. 6
B. 10
11. Solve for x in the equation $2^x = 16$.
A. 2
B. 4
12. What is the common logarithm base of 1,000,000?
A. 6
B. 4
13. Simplify $log_749^2$.
A. 2
B. 8
14. If $log_2x + log_2y \ge 5$, what is the smallest value of x + y?
A. 2
B. 5
15. Evaluate $log_8(\frac{1}{64})$.
A. -2
B. 0
16. Evaluate and simplify the following expressions: ???
a) $log_3(\frac{\sqrt{5}}{\sqrt[4]{81}})$ 
b) $log_2(\frac{1}{8})$ 
c) $log16 + 3log(4)$
a) $log_x125 = \frac{-1}{5}$ ??
        
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10. If log3x = 4 and log3y = 2, what is log3(x × y)?
A. 6
B. 10
11. Solve for x in the equation 2^x = 16.
A. 2
B. 4
12. What is the common logarithm base of 1,000,000?
A. 6
B. 4
13. Simplify log749^2.
A. 2
B. 8
14. If log2x + log2y ≥ 5, what is the smallest value of x + y?
A. 2
B. 5
15. Evaluate log8((1)/(64)).
A. -2
B. 0
16. Evaluate and simplify the following expressions: ???
a) log3((√(5))/(√(81))) 
b) log2((1)/(8)) 
c) log16 + 3log(4)
a) logx125 = (-1)/(5) ??

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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If log_(3)x=4 and log_(3)y=2, what is base 3 10. If logx=4 and logy=2, what is log base 3 of x*y? A.6 C.8 B.10 D.16 11. Solve for x in the equation 2=16 A.2 B.4 C.3 D.5 12. What is the common logarithm base of 1,000,000? A.6 B.4 C.5 D.7 13. Simplify log 492. A.2 B.8 C.4 D.16 14. If logx + logzy5, what is the smallest value of x + y A.2 C.4 B.5 D.32 15. Evaluate log1/64 A.-2 B.0 C.-1 D.1 16. Evaluate and simplify the following expressions: b) log() c) log16 + 3log4
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Transcript

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00:03 Okay, for these problems, what your goal here is, you want to change this big number into a new number, like two to a certain power.
00:24 Because basically what this is asking you is two to the what power equals 32.
00:32 So two to the fifth equals 32.
00:37 So you can rewrite this log base two two to the fifth those are both twos and once your base and your big number match then this all can go away and your answer will just be whatever your exponent is so the answer for a would be five so for b you can change 49 into you know you want them to match to seven so 49 is seven squared so you can write log that log base seven turn 49 to 7 squared and once you do that this cancels the base in the big number match all that goes away and your answer is just 2 and the same thing log base 3 here well 600 6 ,561 is the same as 3 to 8 so what you're going to do is let this cancel out here and your answer will just be 8 right for d you can change 1 ,024.
01:56 He is 4 to the 5th.
01:58 So i want the young ones these match.
02:00 So we'll just be 5.
02:03 And then the next set, same concept.
02:09 So you have log base 2.
02:11 Well, 64 is the same thing as 2 to the 6th...
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