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Popular >

simplify ln(6(ln(x))^8)

Solution

simplify

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

Solution

ln (6) + 8 ln (ln (x))

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

What is ln(6(ln(x))^8) ?
The solution to ln(6(ln(x))^8) is ln(6)+8ln(ln(x))