How do you solve for x in 9=2^(.84x)?

1 Answer
Dec 5, 2015

x~~3.77 to 2 decimal places

Explanation:

Suppose we had log(x^3)

This is log(x xx x xx x )

Which is log(x)+log(x)+log(x)

Which is 3log(x)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Given: 9=2^(0.84x)

Take logs of both sides

log(9) = 0.84xlog(2)

x=(log(9))/(0.84xxlog(2))

x~~3.77 to 2 decimal places