Question

Вычислите логарифмы

Answer 1

$log_{5} 5^{-2}+ x_{ \frac{1}{3^2} } 3^3= -2-6=4$

$log_{ \frac{3}{2} } log_{2^2} 2^3= log_{3/2} 3/2=1$

$4^{ log_{2}3 } * 4^{0,5log_{2}9 } = 2^{2log _{2}3 } * 2^{log_{2}9 }= 3^{2} * 9 = 81$

$log_{2^{-1} } 2^2+ log_{5^1/2} 5^2= -2+4 = 2$

$log_{3/4} log_{3^3} 3^4 = log_{3/4} 4/3 = -1$

$10^{4lg2} * 10^{2lg3} = 2^4*3^2 = 16*9=144$