Diketahui 2 log 3 = x dan 5 log 2= y. nyatakan nilai 5 log 15 dalam x dan y

Diketahui 2 log 3 = x dan 5 log 2= y. nyatakan nilai 5 log 15 dalam x dan y

Jawaban:

I don't know those guy's but somehow they gimme a place to sit on my way

Penjelasan dengan langkah-langkah:

$log_{2}(3) = x \ frac{ log(3) }{ log(2) } = x \ frac{ log(3) }{x} = log(2) \ \ log_{5}(2) = y \ frac{ log(2) }{ log(5) } = y \ log(2 ) = y times log(5) \ \ log( 2) = log(2) \ frac{ log(3) }{x} = y times log(5) \ frac{ log(3) }{ log(5) } = xtimes y \ log_{5}(3) = xy$

$log_{5}(15) \ = log_{5}(3 times 5) \ = log_{5}(3) + log_{5}(5) \ = xy + 1$