For the equation , we carry out not require a logarithmic graph. This is because, the equation wil provide us the worth of y to be a constant hence this is a situation of a simple horizontal line which does not need any kind of logarithmic graph. This horizontal line will certainly be horizontal to the x axis. This line will certainly represent a continuous worth.

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

Let us view what will certainly be the worth of the consistent. For this we will certainly proceed as follows:

Taking log to the base 10 on both sides will provide us:   The graph of is attached. Please check the attachment. As you will see it will certainly be a line horizontal to the x axis, at a continuous distance of around 1.262 from the x axis.

Thus, it will certainly not call for a logarithmic graph. A normal graph would certainly execute. ifn

Step-by-step explanation: you are on plato the answer is D

So basically, you are searching for a base 3 log graph.Steps:

Take the base 3 log on both sides of 3^y = 8 to obtain y = base3 log 8.

To discover the curve that is base 3 log 8, you must lookat some points; in this situation, the base 3 log 9=2, and also base 3 log 3=1.

So,you need to get a graph with points (1,0) (3,1) (9,2).

Thus, based from what we acquired, the graph offeature f of x amounts to log base 3 of x is the logarithmic graph thathave the right to be provided to approximate the worth of y in the equation 3y = 8.

I guess this should 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 have the right to use base 3 logarithm to both sides. base 3 log (3^y) = base 3 log (8)y * = base 3 log (8)we understand thatbase 3 log 3 = 1therefore y = base 3 log (8)the answer is y = base 3 log (8)
The attribute is 3^y = 8Then, you deserve to apply base 3 logarithm to both sides.That results in base: base 3 log (3^y) = base 3 log (8)And from that:y * = base 3 log (8)making use of the residential or commercial property that base 3 log 3 = 1, you get: y = base 3 log (8).So, you can approximate the worth of y utilizing the feature f(x) = base 3 log (x). Just look for the worth of that function for x = 8.That is the second choice of the list: the graph of attribute f of x equates to log base 3 of x.
The logarithmic graph deserve to be used to approximate the worth 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 your question below at I hope the answer will certainly assist you. Feel cost-free to ask more concerns.
We have actually that3^y = 7applying log both memberslog(3^y)=log 7y*log 3=log 7y=log 7/log 3using the logarithmic graph of y=log xI graphically determine the worths ​​for x = 3 and x = 7see the attached 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 value of y is 1.77 ### Anvarious other question on Mathematics

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