SOLUTION: find x -3log(x+2)+log5=0 The answer is -2+cube root of 5 What steps are involved in getting to that answer?

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Question 147145: find x
-3log(x+2)+log5=0
The answer is -2+cube root of 5
What steps are involved in getting to that answer?

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation


Subtract from both sides.


Rewrite the left side using the identity


Rewrite the right side using the identity


Since the logs are equal with the same base, this means that arguments are equal


Flip the fractions


Cross multiply.


Simplify.


Take the cube root of both sides.


Subtract 2 from both sides.


Rearrange the terms.



So the answer is

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