Question

How do you calculate `log_5 7 * log_7 8 * log_8 625`?

Answer 1

It is

# log_5 7 * log_7 8 * log_8 625= log7/log5*log8/log7*log625/log8= cancellog7/log5*cancellog8/cancellog7*log625/cancellog8= log625/log5=log5^4/log5=(4*log5)/log5=4#