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I Know You Will Avoid It, But Solve. by ifada123: 12:56pm On Apr 09, 2019 |
X^logx=10000x^3 With workings |
Re: I Know You Will Avoid It, But Solve. by Martinez39(m): 4:54pm On Apr 09, 2019 |
ifada123: Taking the common logarithms of both sides : log xlog x = log (10⁴ × x³) Using the properties of logarithms (log x)(log x) = log 10⁴ + log x³ (log x)² = 4 + 3log x ----- an equation quadratic in form If u = log x then u² = 4 + 3u Using the quadratic formula to solve u² - 3u - 4 = 0 u = log x = 4 or u = log x = -1 ie. x = 10⁴ or x = 10-1 On checking, the solution set is, {10⁴, 10-1} 1 Like |
Re: I Know You Will Avoid It, But Solve. by dejt4u(m): 7:38pm On Apr 09, 2019 |
Martinez39:You made a mistake here. it didn't affect your workings though. a typographical error I think (log x)² = 4 + It should be (log x)² = 4 + 3log x You did well. keep it up 1 Like 1 Share |
Re: I Know You Will Avoid It, But Solve. by Martinez39(m): 7:39pm On Apr 09, 2019 |
dejt4u:Thanks. It was a typo. |
Re: I Know You Will Avoid It, But Solve. by dejt4u(m): 7:40pm On Apr 09, 2019 |
Martinez39:yes.. well done |
Re: I Know You Will Avoid It, But Solve. by ifada123: 8:39pm On Apr 09, 2019 |
Martinez39:√√√√√√√√√√ correct, |
Re: I Know You Will Avoid It, But Solve. by ifada123: 10:25am On Apr 10, 2019 |
Get ready more shape questions loading.... I remain your shape lover Mr Shape |
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