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Popular >

simplify log_{e}(8)

Solution

simplify

lo g_{e} (8)

Solution

3 ln (2)

+1

Solution steps

lo g_{e} (8)

Apply log rule:

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

= ln (8)

Rewrite

8

in power-base form:

8 = 2^{3}

= ln (2^{3})

Apply log rule:

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

ln (2^{3}) = 3 ln (2)

= 3 ln (2)

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Frequently Asked Questions (FAQ)

What is log_{e}(8) ?
The solution to log_{e}(8) is 3ln(2)