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Popular >

simplify log_{2}(18)-2log_{2}(3)

Solution

simplify

lo g_{2} (18) - 2 lo g_{2} (3)

Solution

1

Solution steps

lo g_{2} (18) - 2 lo g_{2} (3)

Apply log rule:

b \cdot lo g_{a} (x) = lo g_{a} (x^{b})

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

= lo g_{2} (18) - lo g_{2} (3^{2})

Apply log rule:

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

lo g_{2} (18) - lo g_{2} (3^{2}) = lo g_{2} (\frac{18}{3 ^{2}})

= lo g_{2} (\frac{18}{3 ^{2}})

Cancel

\frac{18}{3 ^{2}} : 2

= lo g_{2} (2)

Apply log rule:

lo g_{a} (a) = 1

= 1

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Frequently Asked Questions (FAQ)

What is log_{2}(18)-2log_{2}(3) ?
The solution to log_{2}(18)-2log_{2}(3) is 1