3. If loga logx - 3logy , what is the value of a?

Q: The energy E (in joules) radiated as seismic waves from an earthquake of Richter magnitude M is…

A:

Q: 17 14 13 15 12 16 Which graph shows the solution to the equation below log3(X+3) logo3(X-1) 1 33 10…

A: To obtain the graph of the given equation,

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 7√7

A: We first write the inner expression using an exponent.

Q: If the base  b of the exponential function is a real number between zero and 1  (0 < b < 1 ) , then…

A: Exponential functions have the form f(x) = bx, where b &gt; 0 and b ≠ 1. Just as in any exponential…

Q: Given that logx = -2 and logy = 3 then simplified value of log(x7 * y³) is 29 -5 32 15 None of these

A: Given: logx = -2 and logy=3 To evaluate: logx7×y3 We know the following logarithm properties logmn=…

Q: 6. Show that the principal branch of the log function can be described by the formula log(z) = S 1/w…

A:

Q: 12. If the graph of the exponential function f(x) = a", where a > 0 and a + 1, is decreasing, then a…

A: If the graph of the exponential function fx=ax, where a&gt;0 and a≠1, is decreasing, then a must be…

Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

A:

Q: Q3) A set of data is shown to have a linear relationship if transformed into the function…

A: It is given that. after transforming of data (X and Y), we get a linear relationship between x and y…

Q: (a) By drawing the graphs of the functions (x) = 1 + In(1 + x) and g(x) = V in a suitable viewing…

A: In the following diagram the logarithmic function starts out higher than the root function as…

Q: (1) Expand the following into as many logarithms as possible, with what's inside each simple as…

A:

Q: Which of the following equals 2 log(9) + 2 log(x)? O log (9'a) log(2 9 2a) O log (2 -9 a2) 2.9 log…

A:

Q: (5) =7. Find the following: loga g) loga (1,000, 000, 000)

A: Given: loga2=3 and loga5=7 To find loga1,000,000,000

Q: The derivate of y = 4 logx? – 5*² is | 8. 8. (2x) 5* In 5 5 x² In 10 x In 10

A: Derivative of the function

Q: TWO quantities M and N are defined via logarithms as log M = 2, log N = 5 EXPLAIN why N is greater…

A:

Q: A set of data is shown to have a linear relationship if transformed into the function log(y)=2+5x.…

A: Given problem Given that   A set of data is shown to have a linear relationship if transformed…

Q: 6log3(t + 4) = 36 %3D log3(t + 4) = %3D t = II

A:

Q: As the base a of an exponential function f(x) = a* , where a>1, increases, what happens to the…

A: As the base a of an exponential function f(x) = ax where a &gt;1, increases To find what happens to…

Q: I. Find the natural logarithm of the following when z equals: 1. –10 2. –3 – j4

A: The general form of a complex number is given by z=a+jb, where a and b are real numbers and j=-1.…

Q: Which of the following shows how long an investment of £1000 would take to grow to £4000 when…

A:

Q: One of the following is False: Select one: Log(z12) = Log(z11) + Log(z2). %3D dogz = z if z 0. %3D…

A: Given :- find the false statement.

Q: 24. For which b does the definition of log,x just given make sense, and why? Is this the same…

A:

Q: 7. If log, w = and log6x + log6 y = 1, then determine the value of log7 (4) + log6 (36x²y²) ?|

A: topic- logarithmic equations logaa=1log(ab)=log(a)+log(b)logab=log(a)=log(b)log(am)=mlog(a)

Q: 12. Solve the following equation * 3 poin log, x + log, (x -9)= 2 O 12 О 3, 12 О з 8. O -8 O -2, 8 O…

A: We use the formula logam + logan = loga(mn) logab = c    →  b = ac

Q: 11. If c, then x is equal to a logc – loga logb logc loga +logb logc +loga logb loge logb - loga

A:

Q: 1) lag is equal to logizs b)3, c) 3x .d) none of them

A: Solution: log5xlog125x=log5xlog53x we know, logbna=1nlogba hence  log53x=13log5x hence…

Q: snip

A: Given statement is the graph of the exponential function fx=ax, where a&gt;0 and a≠1, has no…

Q: Find a formula for the exponential function passing through the points (– 2, 40) and (1, 5) f(z) =

A: Consider the exponential function y=abx. Substitute -2,40  and  1,5 in the above function and obtain…

Q: Find the exponential function y = Cekt that passes through the two given points.

A: From the given graph, the exponential function passes through two point (5, 5) and 0,34. Substitute…

Q: 4. Which of the following represents the y-intercept of the function y = log(x+1000)–8? (1) –8 (3) 3…

A: Y-intercept:- Point at which the line or function intersects the y-axis,i.e., Point at which…

Q: 13. If log 2 = 2.41 and log 6 = 6.23, find the value of: log,() 12 13а Enter your next step here

A:

Q: b = y Convert the logarithmic equation log, 12 = into an exponential equation in the form Section…

A: Proceed as shown...

Q: 3. Give the domain and range of the exponential graph. f(x) (0,2)

A: Domain :- The values on the X axis for which we get the curve of the graph. Range :- The…

Q: What is the x-intercept of the graph of y = log, (x +5)? O (1,0) O (-5,0) O (-4,0) O (4,0)

A: The given problem is to find the x intercept of the given graph function Given function y= log3(x+5)

Q: 1. If the logarithmic parent function, f(x) = log4(x) is vertically stretched by a factor of 8,…

A: We have to calculate resulting function after translation.

Q: - Which of the following is equivalent of the logarithmic function, log7 =-2? 49 a. 7-2 = Which of…

A:

Q: Given that log5(2)= 2.32 and log5(3)= 1.46 What is log5(4/3)?

A:

Q: A popular social media platform has begun offering stock shares to the public. In the past 2 years,…

A: Here, given that the data is exponentially distributed. The exponential model is given by, y= a*bx…

Q: 22. Another way of expressing Inx is log x.

A:

Q: Here is a graph of y = log10 (x). y 4 3 1 100 200 300 400 500 600 700 800 900 X What does (100,2)…

A:

Q: 5- Graph the following function( Y=-1/4 log ,(3x-6)+1

A:

Q: Select the correct graph for the given function y = 5+log(x+2) > 10 6 ++ 2 -10 -8 -6 -4 -2, 4 6 8 10…

A:

Q: Find the exponential function  f(x) = ax  whose point is given on the graph: (-1, 1/6)

A:

Q: 2) Evaluate the following without using a calculator. Show your work. a) loga 8 = b) log: (

A:

Q: 2 a) Use your calculator to find the approximate value. Round the answer to 4 decimal places. Log 45…

A: The difference between log and ln is that log is defined for base 10 and ln is denoted for base e.…

Q: If you were asked to find an exponential model y= A6 that passes through the two points (3,6.2) and…

A:

Q: Suppose y = ceka is an exponential function that has the points (3.1,4.8) and (14.3,16.6) on its…

A:

Q: Which of the following points are included in the graph of y= log, ( +5)? Select ALL points where…

A: We will find out the required solution.

Q: 7. Determine a formula for the logistic function whose graph is shown in the figure. y 44 40 (5, 22)…

A: The given graph is

Q: Suppose y = m In(x) + b is a logarithmic function that has the points (16.9,1.2) and (55.8,9.8) on…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.