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Popular >

simplify ln((3w^5)/t)

Solution

simplify

ln (\frac{3 w ^{5}}{t})

Solution

ln (3) + 5 ln (w) - ln (t)

Solution steps

ln (\frac{3 w ^{5}}{t})

Apply log rule:

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

ln (\frac{3 w ^{5}}{t}) = ln (3 w^{5}) - ln (t)

= ln (3 w^{5}) - ln (t)

Apply log rule:

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

ln (3 w^{5}) = ln (3) + ln (w^{5})

= ln (3) + ln (w^{5}) - ln (t)

Apply log rule:

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

ln (w^{5}) = 5 ln (w)

= ln (3) + 5 ln (w) - ln (t)

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Frequently Asked Questions (FAQ)

What is ln((3w^5)/t) ?
The solution to ln((3w^5)/t) is ln(3)+5ln(w)-ln(t)