Start with \(\displaystyle{x}={4}^{{3}}={64},\)

log[4](64)=3,

log[3](3)=1,

log[2](1)=0,

so x=64 is a solution.

Another way: log[2](z)=0,

so z=1, log[3](y)=1,

so y=3, log[4](x)=3,

so \(\displaystyle{x}={4}^{{3}}={64}.\)

log[4](64)=3,

log[3](3)=1,

log[2](1)=0,

so x=64 is a solution.

Another way: log[2](z)=0,

so z=1, log[3](y)=1,

so y=3, log[4](x)=3,

so \(\displaystyle{x}={4}^{{3}}={64}.\)