What is log_{4}(3.188-1)+log_{4}(2*3.188-5) ?

The solution to log_{4}(3.188-1)+log_{4}(2*3.188-5) is log_{4}(47042/15625)

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simplify log_{4}(3.188-1)+log_{4}(2*3.188-5)

simplify

lo g_{4} (3.188 - 1) + lo g_{4} (2 \cdot 3.188 - 5)

lo g_{4} (\frac{47042}{15625})

Decimal Notation

0.79504 \dots

Solution steps

lo g_{4} (3.188 - 1) + lo g_{4} (2 \cdot 3.188 - 5)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{4} (3.188 - 1) + lo g_{4} (2 \cdot 3.188 - 5) = lo g_{4} ((3.188 - 1) (2 \cdot 3.188 - 5))

= lo g_{4} ((3.188 - 1) (2 \cdot 3.188 - 5))

(3.188 - 1) (2 \cdot 3.188 - 5) = 3.010688

= lo g_{4} (3.010688)

3.010688 = \frac{3010688}{1000000}

= lo g_{4} (\frac{3010688}{1000000})

Cancel

\frac{3010688}{1000000} : \frac{47042}{15625}

= lo g_{4} (\frac{47042}{15625})

ln (\frac{e ^{2} x ^{2} - 3}{x ( x + 1 ) ^{5}})

\frac{1}{3} ln (x) + \frac{1}{4} ln (y) + c

2 ln (e) + 2 lo g_{x} (+ 3 lo g_{y} (x))

ln (\frac{1}{π})

\frac{1}{2} ln (- 3)

What is log_{4}(3.188-1)+log_{4}(2*3.188-5) ?
The solution to log_{4}(3.188-1)+log_{4}(2*3.188-5) is log_{4}(47042/15625)