Question

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers. 4log x + 2log y

Answer 1

remember some log rules

log a+log b=log ab

xlog a=log aˣ


so
$4log(x)+2log(y)=$
$log(x^4)+log(y^2)=$
$log(x^4y^2)$