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

1 Answer

4 votes

Answer:

The graph of function f of x equals log base 3 of x.

Explanation:

We have the following equation:

3^y = 8

Taking logarithm(Logarithm with base equal 3) in both sides, we have:

lg_3 (3^y) = lg_3 (8)

ylg_3 (3) = lg_3 (8)

y = lg_3 (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.

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User Gareth Jeanne
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