2. Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as possible. (a) log3 486 – log3 6

Q: 12.  use properties of logarithms to expand the logarithmic expression as much as possible. evaluate…

A:

Q: 1. Write the logarithm possible. as the sum or difference of logarithms. Simplify each term as much…

A: The following rules are used in simplifying the given logarithms. lnmn=lnm+lnnlnmn=lnm-lnnlnmn=nlnm…

Q: se the definition of logarithms to completely simplify e^in(2.3)

A: Explanation: Given that logarithm expression.

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

A: Given :            10-5x = 10   To find :  a) The exact solution of the exponential equation in…

Q: 7. a). Expand the expression into a sum, difference, and/or multiple of logarithms: log C Ans.

A:

Q: What possible values of x could be used to evaluate the logarithm In(4x- 22) ? Can the value be used…

A:

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

A: Any function in the form of logarithm is is logarithmic function. The logarithmic function is…

Q: practice question 16

A: Given,

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

A: Given: 10-x=4

Q: 10. Use the properties of logarithms to condense the expression 2log(x + 3) + log(x –12) to a…

A: To condense the below logarithmic expression in a single quantity. 2logx+3+logx−12

Q: 4. a) Can you punch the following into your calculator and solve? Why or why not? log,(512) b) Based…

A: Yes, calculation of logarithm in calculator can be performer easily we have to use ln if log is…

Q: Use the Laws of Logarithms to combine the expression into a single logarithm. (a) log a + 2 log b…

A: a) loga+2logb=loga+logb2=logab2

Q: 2. Condense the logarithm below (write as a single log.) Make sure to completely simplify. 4 ln æ +…

A: We have to simplify

Q: Solve the logarithmic equation for x, as in Example 7. (Enter your answers as a comma-separated…

A:

Q: Use the Laws of Logarithms to combine the expression into a single logarithm.

A: We have to use the laws of logarithms to combine the expression into a single logarithm: a loga+2…

Q: a) log7 1=  b) Let x=log4 64 write in exponential form of the equation c) determine the numerical…

A:

Q: xy? Use your knowledge of the logarithm properties to expand log as a sum or difference of several…

A: By using logarithmic property, we calculate the required expression.

Q: 2. Rewrite the equation log(0.001) = - 3 using exponents instead of logarithms.

A: Given log(0.001)=-3If there is no base given we can consider the base as 10log10(0.001)=-3

Q: 16. Find the value of the logarithm: log161).

A:

Q: 2. Solve the following logarithmic equation or FULLY explain why it is not possible: log(-8)

A: Logarithm of a number is defined as a quantity representing the power to which a fixed number (the…

Q: A. The equivalent exponential form of log,(x+5)= 6 is B. The equivalent logarithmic form of 3.4* = 5…

A:

Q: 4) Find log:(60) using the properties of logarithms, give final answer as a decimal.

A: Here, We need to find the value of log560 using the properties of logarithms.

Q: 13 Use the properties of logarithms to rewrite the expression and simplify if possible. 81y In (x+6)

A:

Q: For log, 2, (a) Estimate the value of the logarithm between two consecutive integers. For examp (b)…

A:

Q: i) State the change-of-base formula for logarithms. ii) Using the change-of-base formula, and the…

A:

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

A:

Q: b) 4 log(x – 2) – 3 log( 5x + 1)

A:

Q: 1) Express the logarithm as a sum, difference, or multiple of logarithms. (In other words, split up…

A:

Q: 3. Condense the logarithms: log2 x + log, 5 – log2 (x + 5) - 5 log2 (x - 5)

A: Use the below logarithmic properties

Q: c. The solution of the logarithmic equation logg(log(log2 x³º)) = ; is.

A: Basic Logarithm Rules: The following are some of the logarithm rules that are used in solving the…

Q: 1. 2) (EF Simplify and find the value of (2) loga-1)2) log a - (2) 1) as a single log 2a1) logarithm…

A:

Q: Use properties of logarithms to expand the logarithmic expression ln (e4/8) as much as possible.…

A: Given: lne48

Q: 1. Rewrite in logarithmic form 3 3 = 0.421875 4

A:

Q: 10. Solve the logarithmic equation log, (3x-1)-log, (2.x+7)=0.

A:

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

A: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

Q: Change the exponential expression to an equivalent expression involving a logarithm. 19) 19) 4 =x A)…

A: Given : 42=x          (1)

Q: how to write a logarithmic problem with a base? such as: log base2.

A:

Q: (a) What is a logarithmic equation?(b) How do you solve a logarithmic equation?(c) Solve for x: 4…

A: The equation which is in the logarithmic base (common base, natural base or any base a>0 with…

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

A: An exponential equation can be converted to logarithm equation because logbx=y is equivalent to the…

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

A: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

Q: 1. Explain why log a ⁡ a x = x. 2. What is the difference between a common logarithm and a natural…

A:

Q: a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

A:

Q: use the change-of-base and a calculator to approximate the logarithm to 4 decimal places

A:

Q: 1. Rewrite log(100) = x as an equivalent exponential equation. 2. Rewrite 4* = 64 as an equivalent…

A: 1  log100 = x equivalent exponential function  for exponential function we take both side…

Q: 19. Which of the following mathematical statements is a natural logarithmic 1 point equation? log, a…

A:

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

A: Given:101-x = 6x To Determine:  (a) Find the exact solution of the exponential equation in terms of…

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

A: The exponential equation is given as 10x=25

Q: 4. 3. Use the Laws of Logarithms to combine the expression.

A: Given, 14logx+24+13logx6-logx2-x-63

Q: 12. A student wants to use a graphing calculator to graph y =log5x. If the calculator accepts only…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.