What is x-log_{e}(x)-log_{e}(0.17) ?

The solution to x-log_{e}(x)-log_{e}(0.17) is x-ln(0.17x)

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simplify x-log_{e}(x)-log_{e}(0.17)

simplify

x - lo g_{e} (x) - lo g_{e} (0.17)

x - ln (0.17 x)

Solution steps

x - lo g_{e} (x) - lo g_{e} (0.17)

Rewrite

- lo g_{e} (x) - lo g_{e} (0.17)

- (lo g_{e} (x) + lo g_{e} (0.17))

= x - (lo g_{e} (x) + lo g_{e} (0.17))

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{e} (x) + lo g_{e} (0.17) = lo g_{e} (0.17 x)

= x - lo g_{e} (x \cdot 0.17)

Apply log rule:

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

= x - ln (0.17 x)

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(16 a (ln (2) + ln (b))) \cdot 4

2 ln (\frac{3}{6})

What is x-log_{e}(x)-log_{e}(0.17) ?
The solution to x-log_{e}(x)-log_{e}(0.17) is x-ln(0.17x)