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Popular >

simplify log_{e}(100)

Solution

simplify

lo g_{e} (100)

Solution

2 ln (10)

+1

Decimal Notation

4.60517 \dots

Solution steps

lo g_{e} (100)

Apply log rule:

lo g_{e} (x) = ln (x)

= 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 log_{e}(100) ?
The solution to log_{e}(100) is 2ln(10)