Calculate log3 43 to the nearest thousandth.

Using the relationship

log_b (x) = log_e (x) / log_e (b)

where there intermediate base "e" can be replaced with any other positive number.

log_3 (43) (log 43 to base 3)

=log_e (43) / log_e (3)

= 3.761200/1.098612

= 3.423592 ...

= 3.424 (to the nearest thousandth)