. a. Evaluate log, 2 b. Evaluate 5 - log: 2 c. How do the values of the expressions in parts (a) and (b) compare?

Q: Given that log,(N4) = 8, then log,(7) = %3D

A: Given logb(N4)=8logb(1N)=?That can be written as lobb(N-1)

Q: 3. Rewrite the following expressions in exponential or logarithmic form, the opposite of what is…

A: Given:  C )  logx23=57      Log to exponential form:       logab=c then          ac=b

Q: 5. Determine the value for each of the following logarithms. (Easy) (a) log, 32 (b) log, 49 (c) log,…

A: Given:alog2 32blog7 49clog3 6561dlog4 1024Logarthmic formula:logb bp=p

Q: Write the following as a sum of logarithms: log(z y=")= log(z)+ log(y)+ log(z) %D

A:

Q: When the expression - log, (5) - log, (4) + log, (7), b > 1, is written in the form log, a, the…

A: We have to find value of a to the nearest hundredth.

Q: Which expression shows how to write log, y² as a base 5 logarithm? Select the correct answer below:…

A:

Q: Evaluate the following expressions. (a) log, 513 (b) log, 8 (c) log; 625

A: We will apply following property of log  logxn = n logx

Q: 1. What is each expression written as a single logarithm? a. log, 5x + log, 3x b. 2 log, 6 – log, 9

A: Use log rule

Q: Evaluate the following. (Hint: use the change of base formula). 1 1 a) log a b) log,2 a3

A: loga1a3=loga1a3=loga1a3=3loga1a             ∵ log(m)n=n log(m)=3log1aloga                 ∵…

Q: Evaluate each logarithm using properties of logarithms and the following facts. log₂ (x) = 3.9 log₂…

A:

Q: Given log, 2 = 0.33 and log, 5 = 0.77, calculate log, 40. (Hint: Expand using sums or differences of…

A: logq2 = 0.33  logq5 = 0.77

Q: e. If log„(1944) = log, (486v2), find the values of n³.

A: log2n(1944) = logn(486√2) log1944/log2n = log(486√2)/logn (log1944)*log(n) = (log2 +…

Q: Suppose log ,2 = a and log ,3= c. Use the properties of logarithms to find the following. log b…

A: Now,                logb1728b=logb1728+logbb=3logb12+logbbUse logbb=1.=3logb12+1

Q: 5. Place the following logarithmic expressions in order from least to greatest. i a. log, 65 b. In10…

A: Let's find.

Q: What is the value of a in log, (x) - 3 = 1? 23 21 22 24

A:

Q: Jse log, 8 s 1.069 and log,5 s 0.827 to evaluate log, 1.292 O 0.242 0.565 O 0.774

A:

Q: Given log, 2 0.2626, logb 3~ 0.4163, and log,5 0.6099, approximate 4b gb ( 15 los(을) using the…

A: The properties of log are shown on board.

Q: Use log, 4 ~ 0.712 and log 12 ~1.277 to evaluate log, 48. log 48 =

A: Finding the value of log748 using the given conditions

Q: Which of the following is equivalent to the equation log, 16 = -2- O 2 = 16 O: = 16 |3D Ox-2 16 O…

A:

Q: Evaluate the following expressions 5. log, 3

A: Evaluate the given expression.

Q: Let log, A = 3.113 and log, B = 0.116. Find log, AB. O 26.836 O 3.229 O 0.361 O 2.997

A:

Q: The power property of logarithms states that for any real number p, log, x = , positive real numbers…

A: The logarithmic properties are useful because they allow us to expand or simplify  the logarithmic…

Q: Choose the best answer. If log, 4 = 1.39 and log, 3 = 1.10, then log, 12 %3D O 0.29 О 1.529 O 2.49 О…

A: Find the value

Q: Given log,(3) =1.099 and log, (5) = 1.609 find the following below. (Round to 1 decimal) log, (Vb3)

A:

Q: 22. Evaluate each of the following and show your work: log, t/81 a) b) log, 48 + log, 4 – log, 3

A:

Q: Use the properties of logarithms to write the expressions in Exercis

A: Logarithmic functions and exponential functions are considered as the inverses of each other as one…

Q: Evaluate the following expression without using a calculator. log s6

A:

Q: I. Rewrite the logarithm as a ratio of (a) common logarithms and (b) natural logarithms. 1.) log 5…

A:

Q: Evaluate each logarithm by using properties of logarithms and the following facts. log (x) = 5.2…

A:

Q: Evaluate log, m² a. n 2 b. n² C. d. mn 2n

A:

Q: Which of the following is equivalent to the expression log

A:

Q: Which of the following logarithms will evaluate to -4? There are multiple correct answers. O log1…

A: Logarithm function and the exponential function are inverses of each other. This is because we have…

Q: Given that log, (3) - 0.68 and log, (2) - 0.43 , evaluate each of the following: a) log, (v2) a b)…

A:

Q: Write the following difference as a single logarithm. Assume all variables are positive. In(7) –…

A: In this question, one have to use the following rule. ln(a)-ln(b)=lnab

Q: Which of the following is equivalent to log36? O A. log3 + 2log2 + log2 B. 3log2 + 2log3 – log2 C.…

A: Choose the correct option.

Q: Use log, 6 z 0.815 and log, 4 0.631 to evaluate log, 24. a. 0.515 b. 0.185 C. 1.048 d. 1.446

A:

Q: a) log, 16* b) log, 16+log, 4- log, 8

A: Given:- Log4(16)5 Log2(16) +Log2(4) -Log2(8)  To find:- Exact values of above given parts

Q: Given log,41.262 and log,71.771, what is the value of log, G)? Enter your answer in the box. log3…

A: Given query is to find the value of logarithmic expression.

Q: Assume a > 0. Which of the following is/are NOT equivalent to the expression log, (20x²)? Olog, (2a)…

A: We have the expression: log3(20x2)

Q: Written as a single logarithm, 3log,5 +log,6 – 2log,10 –log 25 is 6. O loga 25 3 O loga O loga 10 37…

A:

Q: Match the logarithmic expressions to equivalent expressions. 2x a. log, 4x b. log, 2 + log, x 4 log…

A:

Q: Evaluate the following expressions without using b) log (0.1) 1. a calculator. a) log; (81)

A: The answer is found in step-2

Q: The value of 31 log, /4 is O 15.5 O 31 62.0 O 124.0 O 0.0

A:

Q: 3. Write the following as a single logarithm. 2 log, 9+3log, 2 log, (2x) + 3 log, (x) log, (x)–log,…

A:

Q: Evaluate the following expressions. (a) log; 5º = (b) log, 64 = (c) log, 1296 = (d) log, 8²

A:

Q: 10. Condense the expression log, (x* – x)+3log, (x-1). 3.

A: Given expression

Q: Convert the expression to the log, x using base 10

A: Given that: log5x using base 10.

Q: If log(a)=2, log(b)=−3 log⁡(c)=14, evaluate: log(10a/bc3 )

A: Use the below logarithmic properties to evaluate the expression

Q: Which of the following is equivalent to log,(hf)? O A. hlog,(f) O B. flog,(h) Oc.log2(h) x log2(f) O…

A: We know that logarithmic formula