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Given log Subscript 3 Baseline 2 almost-equals 0. 631 and log Subscript 3 Baseline 7 almost-equals 1. 771, what is log Subscript 3 Baseline 14? 1. 118 1. 893 2. 402 3. 542.

Sagot :

MrRoyal

Numbers can be expressed using logarithms and algebraic expressions

The value of log 14 base 3 is approximately 2.402

How to determine the value of the logarithmic expressions

The logarithmic expressions are given as:

[tex]\log_3(2) \approx 0.631[/tex]

[tex]\log_3(7) \approx 1.771[/tex]

To calculate log 14 base 3, we make use of the following procedure

[tex]\log_2(14)[/tex]

Express 14 as 2 * 7

[tex]\log_2(14) = \log_2(2 * 7)[/tex]

Apply the product rule of logarithm

[tex]\log_2(14) = \log_2(2) + \log_2(7)[/tex]

Substitute known values

[tex]\log_2(14) = 0.631 + 1.771[/tex]

Evaluate the sum

[tex]\log_2(14) = 2.402[/tex]

Hence, the value of log 14 base 3 is approximately 2.402

Read more about equivalent expressions at:

https://brainly.com/question/4344214

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