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Popular >

expand ln((6x^8)/r)

Solution

expand

ln (\frac{6 x ^{8}}{r})

Solution

ln (6) + 8 ln (x) - ln (r)

Solution steps

ln (\frac{6 x ^{8}}{r})

Apply log rule:

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

ln (\frac{6 x ^{8}}{r}) = ln (6 x^{8}) - ln (r)

= ln (6 x^{8}) - ln (r)

Apply log rule:

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

ln (6 x^{8}) = ln (6) + ln (x^{8})

= ln (6) + ln (x^{8}) - ln (r)

Apply log rule:

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

ln (x^{8}) = 8 ln (x)

= ln (6) + 8 ln (x) - ln (r)

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Frequently Asked Questions (FAQ)

What is expand ln((6x^8)/r) ?
The solution to expand ln((6x^8)/r) is ln(6)+8ln(x)-ln(r)