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Misha Larkins [42]
3 years ago
15

Hi, need help with solving this logarithm.​

Mathematics
1 answer:
vfiekz [6]3 years ago
8 0

Answer:

\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})

Step-by-step explanation:

Given

\log 8 - \log x + 7\log\sqrt x

Required

Express as a single expression

We have:

\log 8 - \log x + 7\log\sqrt x

Write 7 as an exponent

\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(\sqrt x)^7

Rewrite as:

\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(x^{\frac{1}{2}})^7

\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log x^\frac{7}{2}

Apply quotient and product rule of logarithm

\log 8 - \log x + 7\log\sqrt x =\log (\frac{8*x^\frac{7}{2}}{x} )

Apply law of indices

\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7}{2} - 1})

Solve exponent

\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7-2}{2}})

\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{5}{2}})

\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})

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Answer and explanation:

Given : A driving exam consists of 29 ​multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probability that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 ​(inclusive) mistakes is 0.53.

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Option a and c are complementary events.

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This graph shows a portion of an odd function.
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Got it correct on Edgenuity :)

Or if you would like the longer explanation;

The graph given explained:

On a coordinate plane, a function has four connecting lines. The first line goes from (0, 0) to (2,2), the second line goes from (2, 2) to (3, 1), the third line goes from (3, 1) to (5, 3), and the fourth line is horizontal to the x-axis at 3.

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