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Mathematics

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Solve log6 22 = log6 (5x–8) for x. A. x = 6 B. x = –14 C. x = –11 D. x = 0

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Answer :

wizard123 wizard123

Today at 4:37 AM

Both sides of the equation contain log base 6. Therefore, the input into each log must be equal.

[tex]log(a) = log(b) \rightarrow a = b[/tex]

Set up equation where inputs are equal:

[tex]5x - 8 = 22[/tex]

Solve for x:

[tex]5x = 22+8 = 30 \\ \\ x = (30/5) = 6[/tex]

Answer is A) x=6

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