solve In (8x)=3. I got x=e^3/8 is that a solution

Muska Fazli

Muska Fazli

Answered question

2022-08-03

solve In (8x)=3. 
I got x=e^3/8 

is that a solution or not? 

Answer & Explanation

xleb123

xleb123

Skilled2023-05-24Added 181 answers

To solve the equation ln(8x)=3, you correctly arrived at the solution x=e38. Let's verify if this solution is valid.
To check if x=e38 is indeed a solution, we substitute it back into the original equation and see if both sides are equal.
Starting with the left-hand side of the equation:
ln(8x)=ln(8(e38))=ln(e3)=3.
We can see that the left-hand side simplifies to 3, which matches the right-hand side of the equation. Therefore, x=e38 is indeed a valid solution to the equation.

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