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What is the solution to the equation 3^sqrt (m-4)-3^sqrt(2m+8)=0

What is the solution to the equation 3^sqrt (m-4)-3^sqrt(2m+8)=0
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4 votes
What is the solution to the equation 3^sqrt (m-4)-3^sqrt(2m+8)=0

User Calleen
by
7.9k points

2 Answers

2 votes

Answer:

No solution.

Explanation:


3^(√(m-4) ) - 3^(√(2m + 8) )=0\\3^(√(m-4) ) = 3^(√(2m + 8) ), so\\√(m-4) =√(2m + 8) \\m-4=2m+8\\2m-m=-4-8\\m=-12, but\\√(-4-8) =√(-12) , that \ is \ impossible \ for \ real\ numbers.\\So,\ no\  solution.

User Bogdan Dumitru
by
8.0k points
4 votes

Answer:

M=-12

Explanation:

User Florent Guillaume
by
7.9k points
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