How do you solve log_x 1000=3?

1 Answer
Jim G.
Jul 13, 2016

x = 10

Explanation:

Using color(blue)"law of logarithms"

color(orange)"Reminder"

color(red)(|bar(ul(color(white)(a/a)color(black)(log_bx=nhArrx=b^n)color(white)(a/a)|)))

Relating to the given question.

x = 1000 , b = x and n = 3

rArr1000=x^3rArr10^3=x^3rArrx=10

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