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1 year ago

Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ?

Mathematics

2 answers:

svet-max [94.6K]1 year ago

7 0

Step-by-step explanation:

log 6 = log (2×3) = log 2 + log 3 = 0.3010+0.4771

=0.7781

bearhunter [10]1 year ago

5 0

Answer:

$\sf \log_{10}6=0.7781$

Step-by-step explanation:

Given:

$\sf \log_{10} 2 = 0.3010$

$\sf \log_{10} 3 = 0.4771$

To find log₁₀ 6, first rewrite 6 as 3 · 2:

$\sf \implies \log_{10}6=\log_{10}(3 \cdot 2)$

$\textsf{Apply the log product law}: \quad \log_axy=\log_ax + \log_ay$

$\implies \sf \log_{10}(3 \cdot 2)=\log_{10}3+\log_{10}2$

Substituting the given values for log₁₀ 3 and log₁₀ 2:

$\begin{aligned} \sf \implies \log_{10}3+\log_{10}2 & = \sf 0.4771+0.3010\\ & = \sf 0.7781 \end{aligned}$

Therefore:

$\sf \log_{10}6=0.7781$

Learn more about logarithm laws here:

brainly.com/question/27953288

brainly.com/question/27963321

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Step-by-step explanation:

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3 years ago

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denis-greek [22]

Answer:

$\frac{7}{10} |$

Step-by-step explanation:

STEP 1:

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The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/3, 7/10) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

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The fraction 41/30

is the same as

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Convert to a mixed number using

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The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(41/30, -2/3) = 30

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Step-by-step explanation:

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2 years ago

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Doss [256]

Answer:

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Step-by-step explanation:

let shirts be represented as x

let shorts be represented as y

Younger brother spent $79 on 4 new shirts and 3 pairs of shorts.

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7 x + 8 y = $185 .......equation 2

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Answer:

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2x + 45 = 90

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3 years ago

Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ? ​

Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ?