Question

Вычислите логарифм по основанию корень из 3 числа 3 корня из 2 + логарифм по основанию 3 числа 1/2

Answer 1

Log√₃(3*√2)+log₃(1/2)=log₃¹/₂(3*√2+log₃2⁻¹=2*log₃(3*2¹/²)-log₃2=
=2(log₃3+log₃2¹/²)-log₃2=2+2*(1/2)*log₃2-log₃2=2.

Answer 2

I can understand and communicate fluently in Russian. Your message translates to "Answer in detail. Calculate the logarithm with base root of 3 of the number 3 root of 2 plus the logarithm with base 3 of the number 1/2".

Here is a possible response: