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Popular >

simplify 2log_{e}(4)-log_{e}(3)

Solution

simplify

2 lo g_{e} (4) - lo g_{e} (3)

Solution

ln (\frac{16}{3})

+1

Decimal Notation

1.67397 \dots

Solution steps

2 lo g_{e} (4) - lo g_{e} (3)

Apply log rule:

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

2 lo g_{e} (4) = lo g_{e} (4^{2})

= lo g_{e} (4^{2}) - lo g_{e} (3)

Apply log rule:

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

lo g_{e} (4^{2}) - lo g_{e} (3) = lo g_{e} (\frac{4 ^{2}}{3})

= lo g_{e} (\frac{4 ^{2}}{3})

4^{2} = 16

= lo g_{e} (\frac{16}{3})

Apply log rule:

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

= ln (\frac{16}{3})

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Frequently Asked Questions (FAQ)

What is 2log_{e}(4)-log_{e}(3) ?
The solution to 2log_{e}(4)-log_{e}(3) is ln(16/3)