Question

log7 5*log4 49*log5 2

Answer 1

log₇5*log₄49*log₅2=$= log_{7}5* frac{ log_{7} 49}{ log_{7}4 }* frac{ log_{7} 2}{log _{7}5 } = frac{ log_{7}5* log_{7} 7^{2} * log_{7} 2 }{ log_{7} 2^{2} * log_{7} 5} = frac{2*log _{7}7* log_{7}2 }{2* log_{7}2 }= frac{2*1}{2} =1$