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Popular >

simplify log_{1.5}(4/9)

Solution

simplify

lo g_{1.5} (\frac{4}{9})

Solution

- 2

Solution steps

lo g_{1.5} (\frac{4}{9})

Convert element to a decimal form

\frac{4}{9} = 0.44444 \dots

= lo g_{1.5} (0.44444 \dots)

0.44444 \dots = 1. 5^{- 2}

= lo g_{1.5} (1. 5^{- 2})

Apply log rule

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

assuming

x \geq 0

= - 2 lo g_{1.5} (1.5)

Apply log rule:

lo g_{a} (a) = 1

= - 2

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Frequently Asked Questions (FAQ)

What is log_{1.5}(4/9) ?
The solution to log_{1.5}(4/9) is -2