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

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

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

simplify

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

lo g_{7} (g) - 2

Solution steps

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

Apply log rule:

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

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

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

lo g_{7} (49) = 2

= lo g_{7} (g) - 2

(\frac{2}{3}) lo g_{10} (\frac{E}{0.7})

ln (5) + ln (x) + ln (y)

ln (8) - ln (3)

- lo g_{10} (1.6 \cdot 1 0^{- 7})

5 lo g_{10} (x) + 7 lo g_{10} (y)

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