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Popular >

simplify log_{1/2}(128)

Solution

simplify

lo g_{\frac{1}{2}} (128)

Solution

- 7

Solution steps

lo g_{\frac{1}{2}} (128)

Apply log rule:

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

lo g_{\frac{1}{2}} (128) = - lo g_{2} (128)

= - lo g_{2} (128)

Factor the number:

128 = 2^{7}

= - lo g_{2} (2^{7})

Apply log rule:

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

lo g_{2} (2^{7}) = 7

= - 7

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\frac{12}{16 π ( 7 ) ^{2}} \cdot 12

1 (3 x) = 7 (2 x)

Frequently Asked Questions (FAQ)

What is log_{1/2}(128) ?
The solution to log_{1/2}(128) is -7