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Solve the exponential equation for x 216=6^(4x+11)
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Solve the exponential equation for x 216=6^(4x+11)

User Alessio Gaeta
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2 Answers

3 votes
the answer is negatif 2
Solve the exponential equation for x 216=6^(4x+11)-example-1
User Seyit
by
5.5k points
4 votes

Answer:

x=-2

Explanation:

216=6^(4x+11)


216=6^(4x+11)

To solve for x , we need to make same base on both sides

Write 216 in exponential form

216= 6 times 6 times 6 = 6^3


6^3=6^(4x+11)

Both sides have same base 6. So we make the exponents equal and solve for x


3=4x+11

subtract 11 on both sides


-8=4x

Divide both sides by 4


-2=x

User Rahul Soshte
by
5.3k points
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