What is log_{3}(4)-2log_{3}(6)-2 ?

The solution to log_{3}(4)-2log_{3}(6)-2 is -4

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simplify log_{3}(4)-2log_{3}(6)-2

simplify

lo g_{3} (4) - 2 lo g_{3} (6) - 2

- 4

Solution steps

lo g_{3} (4) - 2 lo g_{3} (6) - 2

lo g_{3} (4) = 2 lo g_{3} (2)

2 lo g_{3} (6) = 2 + 2 lo g_{3} (2)

= 2 lo g_{3} (2) - (2 + 2 lo g_{3} (2)) - 2

Expand

- (2 + 2 lo g_{3} (2)) : - 2 - 2 lo g_{3} (2)

= 2 lo g_{3} (2) - 2 - 2 lo g_{3} (2) - 2

Add similar elements:

2 lo g_{3} (2) - 2 lo g_{3} (2) = 0

= - 2 - 2

Subtract the numbers:

- 2 - 2 = - 4

= - 4

(3 + x) (2 x - 5)

\frac{1}{cos ^{2} ( x )} - 1

\frac{18 y ^{6}}{42 y ^{4}}

\frac{\frac{a - 4}{a ^{2} - 2 a - 8}}{\frac{1}{a - 5}}

(x^{3} + 2)^{3}

What is log_{3}(4)-2log_{3}(6)-2 ?
The solution to log_{3}(4)-2log_{3}(6)-2 is -4