14⋅log61296⋅log612−log63= \frac{1}{4}\cdot\log_61296\cdot\log_6\frac{1}{2}-\log_63= 41⋅log61296⋅log621−log63=
We break it down into parts
log61296=x \log_61296=x log61296=x
6x=1296 6^x=1296 6x=1296
x=4 x=4 x=4
14⋅4⋅log612−log63= \frac{1}{4}\cdot4\cdot\log_6\frac{1}{2}-\log_63= 41⋅4⋅log621−log63=
log612−log63= \log_6\frac{1}{2}-\log_63= log621−log63=
log6(12:3)=log616 \log_6\left(\frac{1}{2}:3\right)=\log_6\frac{1}{6} log6(21:3)=log661
log616=x \log_6\frac{1}{6}=x log661=x
6x=16 6^x=\frac{1}{6} 6x=61
x=−1 x=-1 x=−1
−1 -1 −1