How do you solve 8^x=1000?
2 Answers
Explanation:
Convert the exponential form to a logarithmic form
You can use the 'change of base law' to calculate it.
Nov 29, 2016
Explanation:
Use the
color(blue)"law of logarithms"
color(red)(bar(ul(|color(white)(2/2)color(black)(logx^n=nlogx)color(white)(2/2)|)))
Applies to logarithms to any base.Take the ln ( natural log) of both sides.
rArrln8^x=ln1000 Using the above law.
divide both sides by ln8
(x cancel(ln8))/cancel(ln8)=ln1000/ln8
rArrx≈3.322" to 3 decimal places"