What is log_{10}((1000)/(c^4+2)) ?

The solution to log_{10}((1000)/(c^4+2)) is 3-log_{10}(c^4+2)

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simplify log_{10}((1000)/(c^4+2))

simplify

lo g_{10} (\frac{1000}{c ^{4} + 2})

3 - lo g_{10} (c^{4} + 2)

Solution steps

lo g_{10} (\frac{1000}{c ^{4} + 2})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{1000}{c ^{4} + 2}) = lo g_{10} (1000) - lo g_{10} (c^{4} + 2)

= lo g_{10} (1000) - lo g_{10} (c^{4} + 2)

lo g_{10} (1000) = 3

= 3 - lo g_{10} (c^{4} + 2)

ln (ln ((sinh (x) + cosh (x))^{2}))

ln (\frac{19}{3})

2 lo g_{6} (x) - 3 lo g_{6} (y)

5 ln (x) + 6 ln (y)

lo g_{10} (\frac{7 x ( 2 - x )}{2 ( x - 1 ) ^{3}})

What is log_{10}((1000)/(c^4+2)) ?
The solution to log_{10}((1000)/(c^4+2)) is 3-log_{10}(c^4+2)