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Popular >

simplify ln(5)+3ln(4)

Solution

simplify

ln (5) + 3 ln (4)

Solution

ln (320)

+1

Decimal Notation

5.76832 \dots

Solution steps

ln (5) + 3 ln (4)

Apply log rule:

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

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

= ln (5) + ln (4^{3})

Apply log rule:

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

ln (5) + ln (4^{3}) = ln (4^{3} \cdot 5)

= ln (4^{3} \cdot 5)

5 \cdot 4^{3} = 320

= ln (320)

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expand ln((4a)^3)expand

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expand log_{5}((x^5)/(y^4))expand

lo g_{5} (\frac{x ^{5}}{y ^{4}})

Frequently Asked Questions (FAQ)

What is ln(5)+3ln(4) ?
The solution to ln(5)+3ln(4) is ln(320)