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aleksley [76]
3 years ago
6

How do I evaluate log 1/32?

Mathematics
2 answers:
stira [4]3 years ago
4 0
On a graphing calculator, hit Math, Alpha, Math. Then input your logarithmic function. Hope this helped! Good luck :)
Mandarinka [93]3 years ago
4 0
Answer:

1/5

Explanation:

Use <span><span><span>logb</span>a</span>=<span><span><span>logc</span>a</span><span><span>logc</span>b</span></span></span>

Here,

<span><span>log<span>12</span></span><span>(<span>132</span>)</span></span>

<span>=<span><span>log<span>(<span>132</span>)</span></span><span>/log<span>(<span>12</span>)</span></span></span></span>

<span>=<span><span>−<span>log2</span></span><span>−<span>log32</span></span></span></span>

<span>=<span><span>log2</span><span><span> /log2</span>5</span></span></span>

<span>=<span><span>log 2</span><span>5 /<span>log2</span></span></span></span>

<span>=<span>1<span>/5</span></span></span>
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{\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}

‣ A coin is tossed three times.

{\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}

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2) At most 2 heads

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{\large{\textsf{\textbf{\underline{\underline{Using \: Formula :}}}}}}

\star \: \tt  P(E)= {\underline{\boxed{\sf{\red{  \dfrac{ Favourable \:  outcomes }{Total \:  outcomes}  }}}}}

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Here

• Favourable outcomes = {HHT, THH, HTH, TTH, HTT, THT, TTT} = 7

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\therefore  \sf Probability_{(at \: most  \: 2 \:  heads)}  =  \green{ \dfrac{7}{8}}

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[It means there can be two or more tails]

Here

• Favourable outcomes = {TTH, TTT, HTT, THT} = 4

• Total outcomes = 8

\longrightarrow   \sf Probability_{(at \: least \: 2 \:  tails)}  =  \dfrac{4}{8}

\therefore  \sf Probability_{(at \: least \: 2 \:  tails)}  =   \orange{\dfrac{1}{2}}

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Here

• Favourable outcomes = {HTH, THH, HHT } = 3

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\therefore  \sf Probability_{(exactly \: 2 \:  heads)}  =  \pink{ \dfrac{3}{8}}

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Here

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\therefore  \sf Probability_{(exactly \: 3 \:  heads)}  =  \purple{ \dfrac{1}{8}}

\rule{280pt}{2pt}

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