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Popular >

simplify ln(w)+3ln(4z)

Solution

simplify

ln (w) + 3 ln (4 z)

Solution

ln (64 w z^{3})

Solution steps

ln (w) + 3 ln (4 z)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 ln (4 z) = ln ((4 z)^{3})

= ln (w) + ln ((4 z)^{3})

Apply log rule:

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

ln (w) + ln ((4 z)^{3}) = ln (w (4 z)^{3})

= ln (w (4 z)^{3})

Simplify

w (4 z)^{3} : 64 w z^{3}

= ln (64 w z^{3})

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Frequently Asked Questions (FAQ)

What is ln(w)+3ln(4z) ?
The solution to ln(w)+3ln(4z) is ln(64wz^3)