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Popular >

simplify ln(100/1)

Solution

simplify

ln (\frac{100}{1})

Solution

2 ln (10)

+1

Decimal Notation

4.60517 \dots

Solution steps

ln (\frac{100}{1})

Apply log rule:

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

ln (\frac{100}{1}) = ln (100) - ln (1)

= ln (100) - ln (1)

Apply log rule:

lo g_{a} (1) = 0

= ln (100) - 0

ln (100) - 0 = ln (100)

= ln (100)

Rewrite

100

in power-base form:

100 = 1 0^{2}

= ln (1 0^{2})

Apply log rule:

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

ln (1 0^{2}) = 2 ln (10)

= 2 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(100/1) ?
The solution to ln(100/1) is 2ln(10)