What is log_{10}(0.3x) ?

The solution to log_{10}(0.3x) is log_{10}(3)+log_{10}(x)-1

Popular >

simplify log_{10}(0.3x)

simplify

lo g_{10} (0.3 x)

lo g_{10} (3) + lo g_{10} (x) - 1

Solution steps

lo g_{10} (0.3 x)

Apply log rule:

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

lo g_{10} (0.3 x) = lo g_{10} (0.3) + lo g_{10} (x)

= lo g_{10} (0.3) + lo g_{10} (x)

lo g_{10} (0.3) = lo g_{10} (3) - 1

= lo g_{10} (3) - 1 + lo g_{10} (x)

Apply log rule:

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

lo g_{10} (3) + lo g_{10} (x) = lo g_{10} (3 x)

= lo g_{10} (3 x) - 1

Simplify

lo g_{10} (3 x) : lo g_{10} (3) + lo g_{10} (x)

= lo g_{10} (3) + lo g_{10} (x) - 1

ln (5 x) + ln (2 x)

ln (6) + ln (\frac{e ^{(2.47329)}}{3})

3 ln (x) + \frac{1}{2} ln (y) + ln (z)

ln (\frac{2 - i}{2 + i})

40 \cdot ln (\frac{0.8}{4})

What is log_{10}(0.3x) ?
The solution to log_{10}(0.3x) is log_{10}(3)+log_{10}(x)-1