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My question is, what is:  log6(4x-8)=3

Sagot :

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4x-8=6^3
4x-8=216
4x=224
x=56
[tex]log_6(4x-8)=3\ (*)\\\\D:4x-8 > 0\to4x > 8\to x > 2\to x\in(2;\ \infty)\\\\(*)\ 4x-8=6^3\\\\4x=216+8\\\\4x=224\ \ \ \ /:4\\\\x=56\in D[/tex]
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