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How to solve log(3) 8 = x ?

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Try photomath...............
User Cristiano Coelho
by
7.8k points
2 votes

Answer:

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

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
(log 8)/(log 3) = 1.892789

User Vincent Malgrat
by
8.4k points

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