Prove the following:

3^{log 4} = 4^{log 3}

Given,

3^{log 4} = 4^{log 3}

Taking log on both sides we get,

⇒ log 3^{log 4} = log 4^{log 3}

⇒ log 4.log 3 = log 3.log 4

Since, L.H.S. = R.H.S.,

Hence, proved that 3^{log 4} = 4^{log 3}.