What is log_{7}((sqrt(c))/(49)) ?

The solution to log_{7}((sqrt(c))/(49)) is log_{7}(sqrt(c))-2

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simplify log_{7}((sqrt(c))/(49))

simplify

lo g_{7} (\frac{c}{49})

lo g_{7} (c) - 2

Solution steps

lo g_{7} (\frac{c}{49})

Apply log rule:

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

lo g_{7} (\frac{c}{49}) = lo g_{7} (c) - lo g_{7} (49)

= lo g_{7} (c) - lo g_{7} (49)

lo g_{7} (49) = 2

= lo g_{7} (c) - 2

lo g_{10} (\frac{a ^{2} b ^{\frac{1}{3}}}{c ^{4}})

10 ln (x^{2} y^{5} z^{3}) - λ (5 x + 2 y + 8 z)

lo g_{10} (y x^{5})

7 lo g_{3} (u) + 4 lo g_{3} (v)

- 1.46 - 5 lo g_{10} (\frac{152.67}{10})

What is log_{7}((sqrt(c))/(49)) ?
The solution to log_{7}((sqrt(c))/(49)) is log_{7}(sqrt(c))-2