What is simplify-log_{10}(1*10^{-1.75}) ?

The solution to simplify-log_{10}(1*10^{-1.75}) is 1.75

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simplify-log_{10}(1*10^{-1.75})

simplify

- lo g_{10} (1 \cdot 1 0^{- 1.75})

1.75

Solution steps

- lo g_{10} (1 \cdot 1 0^{- 1.75})

Apply log rule:

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

lo g_{10} (1 \cdot 1 0^{- 1.75}) = lo g_{10} (1) + lo g_{10} (1 0^{- 1.75})

= - (lo g_{10} (1) + lo g_{10} (1 0^{- 1.75}))

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (1 0^{- 1.75}) = - 1.75 lo g_{10} (10)

= - (lo g_{10} (1) - 1.75 lo g_{10} (10))

lo g_{10} (1) = 0

1.75 lo g_{10} (10) = 1.75

= - (0 - 1.75)

Simplify

= 1.75

6.1 + lo g_{10} (\frac{24.5}{1.01})

ln (- e^{- x} (1 + \frac{1}{3} e^{- 2 x}))

x - 3 + ln (\frac{x}{( x + 2 )})

ln (7) + ln (8)

ln (\frac{3}{2} a e^{- \frac{3}{2} a x})

What is simplify-log_{10}(1*10^{-1.75}) ?
The solution to simplify-log_{10}(1*10^{-1.75}) is 1.75