What is 2log_{3}(A)-3log_{3}(B) ?

The solution to 2log_{3}(A)-3log_{3}(B) is log_{3}((A^2)/(B^3))

Popular >

simplify 2log_{3}(A)-3log_{3}(B)

simplify

2 lo g_{3} (A) - 3 lo g_{3} (B)

lo g_{3} (\frac{A ^{2}}{B ^{3}})

Solution steps

2 lo g_{3} (A) - 3 lo g_{3} (B)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{3} (A) = lo g_{3} (A^{2})

= lo g_{3} (A^{2}) - 3 lo g_{3} (B)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{3} (B) = lo g_{3} (B^{3})

= lo g_{3} (A^{2}) - lo g_{3} (B^{3})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{3} (A^{2}) - lo g_{3} (B^{3}) = lo g_{3} (\frac{A ^{2}}{B ^{3}})

= lo g_{3} (\frac{A ^{2}}{B ^{3}})

- ln (\frac{3.9}{6.4})

ln (\frac{( 3 - x )}{( 2 + x )})

ln (8 x) - ln (x)

ln (a) - (ln (b) + ln (c))

lo g_{10} (\frac{y}{7 x})

What is 2log_{3}(A)-3log_{3}(B) ?
The solution to 2log_{3}(A)-3log_{3}(B) is log_{3}((A^2)/(B^3))