Question

How do you condense `log_10 x - 4log_10 y`?

Answer 1

`log_(10)(x/y^4)`

Explanation:

`"using the "color(blue)"laws of logarithms"`

`•color(white)(x)logx^nhArrnlogx`

`rArr4log_(10)y=log_(10)y^4`

`•color(white)(x)logx-logyhArrlog(x/y)`

`rArrlog_(10)x-log_(10)y^4=log_(10)(x/y^4)`