Question

How do you condense `ln10-5ln7`?

Answer 1

`ln(10/16807)`

Explanation:

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

`color(orange)"Reminder"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(logx^nhArrnlogx)color(white)(a/a)|)))" and " color(red)(|bar(ul(color(white)(a/a)color(black)(logx-logy=log(x/y))color(white)(a/a)|)))`

`rArr5ln7=ln7^5" and " ln10-ln7^5=ln(10/(7^5))`

`rArrln10-5ln7=ln(10/7^5)=ln(10/16807)`