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Popular >

expand ln(2/7 t^3)

Solution

expand

ln (\frac{2}{7} t^{3})

Solution

ln (2) - ln (7) + 3 ln (t)

Solution steps

ln (\frac{2}{7} t^{3})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (\frac{2}{7} t^{3}) = ln (\frac{2}{7}) + ln (t^{3})

= ln (\frac{2}{7}) + ln (t^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (t^{3}) = 3 ln (t)

= ln (\frac{2}{7}) + 3 ln (t)

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{2}{7}) = ln (2) - ln (7)

= ln (2) - ln (7) + 3 ln (t)

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Frequently Asked Questions (FAQ)

What is expand ln(2/7 t^3) ?
The solution to expand ln(2/7 t^3) is ln(2)-ln(7)+3ln(t)