Arthur D. answered 10/06/15
Tutor
4.9
(338)
Forty Year Educator: Classroom, Summer School, Substitute, Tutor
log(3)(27)=2^x
3^(2^x)=27
3^(2^x)=3^3
if the bases are equal the exponents are equal (or log(3)27=log(3)(3^3)=3log(3)3=3*1=3)
2^x=3
log(2^x)=log(3)
xlog2=log3
x=log3/log2
x=0.47712125472/0.30162999566
x=1.581809707