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Popular >

simplify ln(125)-2ln(5)

Solution

simplify

ln (125) - 2 ln (5)

Solution

ln (5)

+1

Decimal Notation

1.60943 \dots

Solution steps

ln (125) - 2 ln (5)

Apply log rule:

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

2 ln (5) = ln (5^{2})

= ln (125) - ln (5^{2})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (125) - ln (5^{2}) = ln (\frac{125}{5 ^{2}})

= ln (\frac{125}{5 ^{2}})

\frac{125}{5 ^{2}} = 5

= ln (5)

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Frequently Asked Questions (FAQ)

What is ln(125)-2ln(5) ?
The solution to ln(125)-2ln(5) is ln(5)