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

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

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

simplify

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

lo g_{7} (x) - 2

Solution steps

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

Apply log rule:

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

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

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

lo g_{7} (49) = 2

= lo g_{7} (x) - 2

lo g_{b} (\frac{x ^{3} y}{z ^{2}})

ln (\frac{x ^{2} - 1}{x ^{7}})

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

6 ln (2) - 4 ln (y)

5 ln (x - 2) - ln (x + 2) - 3 ln (x)

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