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

Asked by maham237 @ 28/11/2020 in Mathematics viewed by 348 People

Which logarithmic graph can be used to approximate the value of y in the equation 3y = 8? The graph of function f of x equals log base 4 of x minus 4 The graph of function f of x equals log base 3 of x The graph of function f of x equals log base 4 of x The graph of function f of x equals log base 4 of x plus 3

Answered by maham237 @ 28/11/2020

The function is 3^y = 8

Then, you can 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 3] = base 3 log (8)

using the property that base 3 log 3 = 1, you get:

y = base 3 log (8).

So, you can approximate the value of y using the function f(x) = base 3 log (x). Just look for the value of that function for x = 8.

That is the second option of the list: the graph of function f of x equals log base 3 of x.

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

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