Using a logarithm, solve the following equation 500=(2)(10^5x) enter the value for x rounded to the nearest hundredth

0.48

Step-by-step explanation:

The problem at hand

First divide out 2 on both side of the = sign

Now take the base 10 log on each side of the = sign

Now move the exponent to the left like so

Rule you need to know.

Now divide 5 from both sides of the equation

Round to nearest hundredths

Side Note:

You could approach this problem in a different manner.

For instance, we could have done the following

Also, you did not have to use log with a base 10. You could have used the natural log, which is