The properties of logarithms in this section can be used to

The properties of logarithms in this section can be used to rewrite log 5 5 x log5x5 as follows: A log 5 B Alog5B Find the values for A and B

Solution

log 5 ( x) log5(x^5)

= log5(sqrtx) *log5(x^5)

= log5(sqrtx) *5log5(x)

= log5(x^1/2) *5log5(x)

= (1/2)log5(x)*5log5(x)

= log5(x)*(5/2)log5(x)

A = 5/2 ; B = x