Using laws of logarithms write the given expressions using s

Using laws of logarithms, write the given expressions using sums and/or differences of logarithmic expressions which do not contain the logarithms of products, quotients, or powers. Log(45x) = log(45) + (x) log(x^55) = 55 log(x) 10 log (^5 Squareroot x) = 1/5 log(x)^10 1/5 log(x)^10 syntax ok

Solution

c) 10 log ( 5th root x )

5th root x can be written as (x)^1/5

so the expression becomes

10 log (x^1/5 )

applying log peroperty

1/5*10 log x = 2 log x