What is 36log_{3}(x)-6log_{3}(y) ?

The solution to 36log_{3}(x)-6log_{3}(y) is log_{3}((x^{36})/(y^6))

Popular >

simplify 36log_{3}(x)-6log_{3}(y)

simplify

36 lo g_{3} (x) - 6 lo g_{3} (y)

lo g_{3} (\frac{x ^{36}}{y ^{6}})

Solution steps

36 lo g_{3} (x) - 6 lo g_{3} (y)

Apply log rule:

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

36 lo g_{3} (x) = lo g_{3} (x^{36})

= lo g_{3} (x^{36}) - 6 lo g_{3} (y)

Apply log rule:

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

6 lo g_{3} (y) = lo g_{3} (y^{6})

= lo g_{3} (x^{36}) - lo g_{3} (y^{6})

Apply log rule:

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

lo g_{3} (x^{36}) - lo g_{3} (y^{6}) = lo g_{3} (\frac{x ^{36}}{y ^{6}})

= lo g_{3} (\frac{x ^{36}}{y ^{6}})

2 ln (x) + ln (x - 4) - ln (y)

ln (\frac{40}{6})

\frac{ln ( - 0.1 ) - ln ( 5 )}{x - 5}

ln (8) - 2 ln (6) + ln (18)

lo g_{7} (3 x^{2}) - e^{3 x - 6}

What is 36log_{3}(x)-6log_{3}(y) ?
The solution to 36log_{3}(x)-6log_{3}(y) is log_{3}((x^{36})/(y^6))