How to solve for x ?

20 = 100 (1/2) ^x/5730

Note: This is an exponential function.

Question

How to solve for x ?

20 = 100 (1/2) ^x/5730

Note: This is an exponential function.

korosh23 · Answer

$$20 = 100 (1/2)^\frac{ x }{ 5730 }$$

directrix · Answer

Are you permitted to use an online calculator for this, or are you supposed to crank out the answer by hand?

korosh23 · Answer

Actually I know how to find the answer using graphing calculator, but I don't know how to do it algebraically or by hand?

korosh23 · Answer

so using a graphing calculator, the value for x is 13304.648. We have to solve it in a way that the value of x algebraically matches that.

directrix · Answer

On my calculator, I got 8266.6 for x.

directrix · Answer

korosh23 · Answer

I used my textbook answer. It is ok I will ask this question from my teacher later. Thank you for willing to help :)