United States l can you solve?? l Olympiad Math

[@hangthuy458]

6^x(1+1)=120
6^x=120/2=60=6×10
log6^x=log6×10
X=log6+log10/log6
X=log6/log6+1/log6
X=1+1/log6

[@AlexanderSemashkevich]

x=log60/log6=(log6+log10)/log6≈(0.778+1)/0.778≈1.778/0.778≈889/388≈2.2853.
Deviation is about 0.0002.