Find the exact solution to the equation. 10- log base 4 (x+6)=9

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08-01-2018
Mathematics

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Find the exact solution to the equation. 10- log base 4 (x+6)=9

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qabtt qabtt · Answer 1 · 2018-01-08T00:52:12+01:00

qabtt qabtt

08-01-2018

This will require some solving.

[tex]10 - \log_4(x + 6) = 9[/tex]
[tex]log_4(x + 6) = 1[/tex]
[tex]4^{\log_4(x + 6)} = 4[/tex]
[tex]x + 6 = 4[/tex]
[tex]\boxed{x = -2}[/tex]

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