What is log_{10}(1/(sqrt(e^x))) ?

The solution to log_{10}(1/(sqrt(e^x))) is -log_{10}(sqrt(e^x))

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simplify log_{10}(1/(sqrt(e^x)))

simplify

lo g_{10} (\frac{1}{e ^{x}})

- lo g_{10} (e^{x})

Solution steps

lo g_{10} (\frac{1}{e ^{x}})

Apply log rule:

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

lo g_{10} (\frac{1}{e ^{x}}) = lo g_{10} (1) - lo g_{10} (e^{x})

= lo g_{10} (1) - lo g_{10} (e^{x})

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{10} (e^{x})

0 - lo g_{10} (e^{x}) = - lo g_{10} (e^{x})

= - lo g_{10} (e^{x})

ln (\frac{270.5}{250}) (0.2872)

lo g_{10} (a) + 4 lo g_{10} (b) + 3 lo g_{10} (c)

lo g_{e} (x^{3} - 1) - lo g_{e} (x^{2} + x + 1)

4 (lo g_{a} (w) - 4 lo g_{a} (z)) + 2 lo g_{a} (y)

3 ln_{7} (4) + ln_{7} (6)

What is log_{10}(1/(sqrt(e^x))) ?
The solution to log_{10}(1/(sqrt(e^x))) is -log_{10}(sqrt(e^x))