solve-log-1-3-5x-1-gt-0-

Question Number 172081 by Mikenice last updated on 23/Jun/22

s o l v e

{l o g}_{\frac{1}{3}} (5 x - 1) \underline{>} 0

Commented by mr W last updated on 23/Jun/22

5 x - 1 ⩾ 1

\Rightarrow x ⩾ \frac{2}{5}

Commented by mr W last updated on 23/Jun/22

y e s, y o u a r e r i g h t, t h a n k s!

{l o g}_{\frac{1}{3}} (5 x - 1) = - \log_{3} (5 x - 1) \underline{>} 0

\Rightarrow \log_{3} (5 x - 1) ⩽ 0

\Rightarrow 5 x - 1 ⩽ 1

\Rightarrow x ⩽ \frac{2}{5} ✓

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