How to solve log(3) 8 = x ?

The answer to your question is   x ≈ 1.9; the exact value is 1.892789

Step-by-step explanation:

                                           log₃ 8 = x

To solve this problem, you have to look for a number that will be the exponent of three, so when you do the operation the result gives 8.

Example

                                       3ˣ = 8

Let's try some numbers

If x = 1                              3¹ = 3

If x = 2                             3² = 9

X can not be 1 or 2 because the result must be 8. X must be a number between 1 and 2.

                                       3¹.⁵ = 5.19

                                       3¹.⁷ = 6.47

                                       3¹.⁸ = 7.22

                                      3¹.⁹ = 8.06

As you can see the result is approximately x = 1.9                                                                        

But if you need the exact value just divide   = 1.892789

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

step-by-step explanation: