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Popular >

simplify ln(16e^6sqrt(z))

Solution

simplify

ln (16 e^{6} z)

Solution

4 ln (2) + 6 + ln (z)

Solution steps

ln (16 e^{6} z)

Apply log rule:

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

ln (16 e^{6} z) = ln (16) + ln (e^{6}) + ln (z)

= ln (16) + ln (e^{6}) + ln (z)

Apply log rule:

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

ln (e^{6}) = 6 ln (e)

= ln (16) + 6 ln (e) + ln (z)

6 ln (e) = 6

= ln (16) + 6 + ln (z)

ln (16) = 4 ln (2)

= 4 ln (2) + 6 + ln (z)

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Frequently Asked Questions (FAQ)

What is ln(16e^6sqrt(z)) ?
The solution to ln(16e^6sqrt(z)) is 4ln(2)+6+ln(sqrt(z))