How do you condense #ln10-5ln7#?

1 Answer
Aug 20, 2016

Answer:

#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)#