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:
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