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Popular >

simplify log_{3}(1.5)

Solution

simplify

lo g_{3} (1.5)

Solution

1 - lo g_{3} (2)

+1

Decimal Notation

0.36907 \dots

Solution steps

lo g_{3} (1.5)

1.5 = \frac{15}{10}

= lo g_{3} (\frac{15}{10})

Cancel

\frac{15}{10} : \frac{3}{2}

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

Apply log rule:

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

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

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

lo g_{3} (3) = 1

= 1 - lo g_{3} (2)

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Frequently Asked Questions (FAQ)

What is log_{3}(1.5) ?
The solution to log_{3}(1.5) is 1-log_{3}(2)