For the equation , we execute not need a logarithmic graph. This is because, the equation wil offer us the value of y to be a consistent thus this is a instance of a an easy horizontal heat which does not need any kind of logarithmic graph. This horizontal line will be horizontal come the x axis. This heat will represent a constant value.

You are watching: Which logarithmic graph can be used to approximate the value of y in the equation 3y = 8?

Let us see what will be the worth of the constant. Because that this we will continue as follows:

Taking log in to the basic 10 ~ above both sides will give us:   The graph of is attached. Please examine the attachment. As you will view it will be a line horizontal come the x axis, in ~ a constant distance of about 1.262 native the x axis.

Thus, it will not need a logarithmic graph. A typical graph would certainly do. ifn

Step-by-step explanation: you space on plato the price is D

So basically, girlfriend are trying to find a basic 3 log in graph.Steps:

To find the curve the is base 3 log 8, you have to lookat part points; in this case, the basic 3 log in 9=2, and also base 3 log 3=1.

So,you should obtain a graph through points (1,0) (3,1) (9,2).

Therefore, based from what we got, the graph offunction f of x equals log basic 3 the x is the logarithmic graph thatcan be offered to approximate the value of y in the equation 3y = 8.

I assumption: v this have to be3^y = 8ln 3^y = ln 8y * ln 3 = ln 8y = ln8 / ln 3
The finish question in the attached figurewe have actually that3^y = 8we can apply base 3 logarithm come both sides. Basic 3 log (3^y) = base 3 log in (8)y * = base 3 log in (8)we understand thatbase 3 log 3 = 1therefore y = basic 3 log (8)the prize is y = basic 3 log in (8)
The function is 3^y = 8Then, friend can apply base 3 logarithm come both sides.That results in base: base 3 log (3^y) = base 3 log (8)And from that:y * = base 3 log in (8)using the property that basic 3 log in 3 = 1, you get: y = base 3 log (8).So, you can approximate the value of y making use of the function f(x) = basic 3 log (x). Simply look for the worth of that function for x = 8.That is the second option of the list: the graph of role f that x equates to log base 3 that x.
The logarithmic graph can be provided to approximate the value of y in the equation 3y = 8 is the below:y = 8--->y = 8/3 if 3^y = 8 --->y=1.8928Thank you for posting her question below at ns hope the price will help you. Feel totally free to ask much more questions.
We have that3^y = 7applying log both memberslog(3^y)=log 7y*log 3=log 7y=log 7/log 3using the logarithmic graph that y=log xI graphically determine the worths ​​for x = 3 and x = 7see the fastened figurefor x=3log 3=0.48for x=7log 7=0.85thereforey=log 7/log 3-----> y=0.85/0.48-----> y=1.77the answer isthe approximate worth of y is 1.77 Another question on Mathematics

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