Question

hasil dari ²log25 x ⁵loh27 x ³log1/2 adalah​

Answer 1

Jawaban:

[tex]\[2\log_{25}x + 5\log_{27}x - 3\log_{\frac{1}{2}}\][/tex]

To simplify this expression, let's use logarithmic properties:

[tex]\[2\log_{25}x + 5\log_{27}x - 3\log_{\frac{1}{2}} = \frac{2}{\log_{5}25}\log x + \frac{5}{\log_{3}27}\log x - \frac{3}{\log_{\frac{1}{2}}2}\log x\]

[/tex]

Now, simplify further:

[tex]\[2\log_{25}x + 5\log_{27}x - 3\log_{\frac{1}{2}} = \frac{2}{2}\log x + \frac{5}{3}\log x + \frac{3}{-1}\log x\][/tex]

Combine the terms:

[tex]\[\frac{1}{2}\log x + \frac{5}{3}\log x - 3\log x\]

[/tex]

Combine the coefficients:

[tex]\[\frac{1}{2} - \frac{5}{3} - 3 = -\frac{37}{6}\log x\]

[/tex]

So, the simplified expression is

[tex](-\frac{37}{6}\log x)..[/tex]

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