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Popular >

simplify ln(5)+4ln(3)

Solution

simplify

ln (5) + 4 ln (3)

Solution

ln (405)

+1

Decimal Notation

6.00388 \dots

Solution steps

ln (5) + 4 ln (3)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

5 \cdot 3^{4} = 405

= ln (405)

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lo g_{2} (\frac{e ^{7 x}}{e ^{8 y}})

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lo g_{e} (\frac{14}{121})

Frequently Asked Questions (FAQ)

What is ln(5)+4ln(3) ?
The solution to ln(5)+4ln(3) is ln(405)