What is log_{x}(a/(b^2)) ?

The solution to log_{x}(a/(b^2)) is log_{x}(a)-2log_{x}(b)

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simplify log_{x}(a/(b^2))

simplify

lo g_{x} (\frac{a}{b ^{2}})

lo g_{x} (a) - 2 lo g_{x} (b)

Solution steps

lo g_{x} (\frac{a}{b ^{2}})

Apply log rule:

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

lo g_{x} (\frac{a}{b ^{2}}) = lo g_{x} (a) - lo g_{x} (b^{2})

= lo g_{x} (a) - lo g_{x} (b^{2})

Simplify

lo g_{x} (b^{2}) : 2 lo g_{x} (b)

= lo g_{x} (a) - 2 lo g_{x} (b)

ln (x + 4) + ln (x - 4)

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

lo g_{10} (x) + lo g_{10} (x - 7) - lo g_{10} (3)

lo g_{2} (x^{4} \frac{y}{z ^{3}})

2 lo g_{2} (x) + lo g_{2} (t)

What is log_{x}(a/(b^2)) ?
The solution to log_{x}(a/(b^2)) is log_{x}(a)-2log_{x}(b)