You can use the properties of logarithm to get to the solution.
The approximate value for given term is given by
[tex]log_3(14) \approx 2.402[/tex]
When you raise a number with an exponent, there comes a result.
Lets say you get
[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = log_a(c)[/tex]
Some properties of logarithm are:
[tex]log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})[/tex]
[tex]log_3(2) + log_3(7) = log_3(2 \times 7) = log_3(14)\\\\0.631 + 1.771 = log_3(14)\\\\log_3(14) = 2.402[/tex]
Thus,
The approximate value for given term is given by
[tex]log_3(14) \approx 2.402[/tex]
Learn more about logarithm here:
https://brainly.com/question/20835449
