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Popular >

simplify log_{e}(4)-log_{e}(7)

Solution

simplify

lo g_{e} (4) - lo g_{e} (7)

Solution

ln (\frac{4}{7})

+1

Decimal Notation

- 0.55961 \dots

Solution steps

lo g_{e} (4) - lo g_{e} (7)

Apply log rule:

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

lo g_{e} (4) - lo g_{e} (7) = lo g_{e} (\frac{4}{7})

= lo g_{e} (\frac{4}{7})

Apply log rule:

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

= ln (\frac{4}{7})

Popular Examples

simplify log_{10}(532x^{0.184})simplify

lo g_{10} (532 x^{0.184})

simplify 3^x+ln(2x)simplify

3^{x} + ln (2 x)

simplify-ln(6)+1-ln(3)simplify

- ln (6) + 1 - ln (3)

simplify log_{10}(i*(e^2-1))simplify

lo g_{10} (i \cdot (e^{2} - 1))

simplify 2+log_{10}((5.25)/(5.5))simplify

2 + lo g_{10} (\frac{5.25}{5.5})

Frequently Asked Questions (FAQ)

What is log_{e}(4)-log_{e}(7) ?
The solution to log_{e}(4)-log_{e}(7) is ln(4/7)