Base changing property : Solved Example 4 x=1+log(a)bc .. prove that xyz=xy+yz+zx

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If `x=1+log_a bc, y=1+log_b ca, z=1+log_c ab` then prove that `xyz=xy+yz+zx` If `x=1+log_a bc, y=1+log_b ca, z=1+log_c ab` then prove that `xyz=xy+yz+zx`
Given x = 1+log_a⁡bc; y = 1+log_b⁡ca; z = 1+log_c⁡ab, show that xy + yz + zx = xyz. LOGARITHMS Given x = 1+log_a⁡bc; y = 1+log_b⁡ca; z = 1+log_c⁡ab, show that xy + yz + zx = xyz. LOGARITHMS
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