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Popular >

simplify log_{3}(162)-log_{3}(2)

Solution

simplify

lo g_{3} (162) - lo g_{3} (2)

Solution

4

Solution steps

lo g_{3} (162) - lo g_{3} (2)

Apply log rule:

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

lo g_{3} (162) - lo g_{3} (2) = lo g_{3} (\frac{162}{2})

= lo g_{3} (\frac{162}{2})

\frac{162}{2} = 3^{4}

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

Apply log rule:

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

= 4

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Frequently Asked Questions (FAQ)

What is log_{3}(162)-log_{3}(2) ?
The solution to log_{3}(162)-log_{3}(2) is 4