What is log_{10}(2x-3)-log_{10}(e) ?

The solution to log_{10}(2x-3)-log_{10}(e) is log_{10}((2x-3)/e)

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simplify log_{10}(2x-3)-log_{10}(e)

simplify

lo g_{10} (2 x - 3) - lo g_{10} (e)

lo g_{10} (\frac{2 x - 3}{e})

Solution steps

lo g_{10} (2 x - 3) - lo g_{10} (e)

Apply log rule:

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

lo g_{10} (2 x - 3) - lo g_{10} (e) = lo g_{10} (\frac{2 x - 3}{e})

= lo g_{10} (\frac{2 x - 3}{e})

lo g_{3} (x - 3) + lo g_{3} (x - 2)

ln (\frac{2982}{234.3}) 6.75

ln (108) - ln (36)

1 + ln ((sec (x))^{2})

ln (18) - ln (6) + 3 ln (1)

What is log_{10}(2x-3)-log_{10}(e) ?
The solution to log_{10}(2x-3)-log_{10}(e) is log_{10}((2x-3)/e)