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Popular >

simplify log_{0.5}(3)

Solution

simplify

lo g_{0.5} (3)

Solution

- 1.58496 \dots

Solution steps

lo g_{0.5} (3)

Convert

0.5

to a fraction:

\frac{1}{2}

= lo g_{\frac{1}{2}} (3)

Apply log rule:

lo g_{\frac{1}{a}} (x) = - lo g_{a} (x)

= - lo g_{2} (3)

Refine to a decimal form

= - 1.58496 \dots

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Frequently Asked Questions (FAQ)

What is log_{0.5}(3) ?
The solution to log_{0.5}(3) is -1.58496…