Problem: If 6x=2.5\log _{6} x=2.5log6x=2.5, the value of xxx is
Answer Choices:
A. 909090
B. 363636
C. 36636 \sqrt{6}366
D. 0.50.50.5
E. none of these Solution:
x=62.5=62⋅61/2=366x=6^{2.5}=6^{2} \cdot 6^{1 / 2}=36 \sqrt{6}x=62.5=62⋅61/2=366.