Answer:
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 [tex]\frac{log 8}{log 3}[/tex] = 1.892789
