What is log_{a}((asqrt(B))/(C^4)) ?

The solution to log_{a}((asqrt(B))/(C^4)) is 1+log_{a}(sqrt(B))-4log_{a}(C)

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simplify log_{a}((asqrt(B))/(C^4))

simplify

lo g_{a} (\frac{a B}{C ^{4}})

1 + lo g_{a} (B) - 4 lo g_{a} (C)

Solution steps

lo g_{a} (\frac{a B}{C ^{4}})

Apply log rule:

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

lo g_{a} (\frac{a B}{C ^{4}}) = lo g_{a} (a B) - lo g_{a} (C^{4})

= lo g_{a} (a B) - lo g_{a} (C^{4})

lo g_{a} (a B) = 1 + lo g_{a} (B)

lo g_{a} (C^{4}) = 4 lo g_{a} (C)

= 1 + lo g_{a} (B) - 4 lo g_{a} (C)

lo g_{3} (a^{3} b^{7} c^{9})

3 lo g_{4} (n) + lo g_{4} (m)

3 ln (2) + ln (x - 2) - 2 ln (7)

lo g_{2} (\frac{4}{x + 3})

lo g_{10} (\frac{x ^{2}}{y ^{5}})

What is log_{a}((asqrt(B))/(C^4)) ?
The solution to log_{a}((asqrt(B))/(C^4)) is 1+log_{a}(sqrt(B))-4log_{a}(C)