What is log_{7}(16.63)+log_{7}(16.63-4) ?

The solution to log_{7}(16.63)+log_{7}(16.63-4) is log_{7}(2100369/10000)

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simplify log_{7}(16.63)+log_{7}(16.63-4)

simplify

lo g_{7} (16.63) + lo g_{7} (16.63 - 4)

lo g_{7} (\frac{2100369}{10000})

Decimal Notation

2.74795 \dots

Solution steps

lo g_{7} (16.63) + lo g_{7} (16.63 - 4)

Apply log rule:

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

lo g_{7} (16.63) + lo g_{7} (16.63 - 4) = lo g_{7} (16.63 (16.63 - 4))

= lo g_{7} (16.63 (16.63 - 4))

16.63 (16.63 - 4) = 210.0369

= lo g_{7} (210.0369)

210.0369 = \frac{2100369}{10000}

= lo g_{7} (\frac{2100369}{10000})

ln (\frac{1}{( 1 - 0.9 )})

2 (lo g_{a} (z) - 3 lo g_{a} (x)) + 3 lo g_{a} (w)

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

lo g_{6} (\frac{216 x ^{3}}{y})

\frac{1}{20} ln (\frac{31}{20})

What is log_{7}(16.63)+log_{7}(16.63-4) ?
The solution to log_{7}(16.63)+log_{7}(16.63-4) is log_{7}(2100369/10000)