Question 30
a) Show that the number $\log_{2015} 2016$ is irrational;
b) Compare the numbers $\log_{5} 6$ and $\log_{6} 7$;
c) Compute $E=\lg^{3} 5+\lg^{3} 20+\lg 8 \cdot \lg (0,25)$.
b) Compare the numbers $\log_{5} 6$ and $\log_{6} 7$;
c) Compute $E=\lg^{3} 5+\lg^{3} 20+\lg 8 \cdot \lg (0,25)$.