Solve log 1/100 = log(10x + 2).

Do you mean (log 1)/100 or log (1/100)?
If the latter, then

1/100 = 10 x + 2

Take it from there

x=0

Apologies for the confusion. Let's solve the equation log(1/100) = log(10x + 2).

First, we need to understand that the logarithm function with the same base on both sides of the equation allows us to remove the logarithm.

So, log(1/100) = log(10x + 2) can be written as 1/100 = 10x + 2.

Now, let's solve this equation for x by isolating the variable.

1/100 - 2 = 10x

To simplify further, we need to convert 1/100 into a decimal.

1/100 = 0.01

So, the equation becomes:

0.01 - 2 = 10x

Next, simplify:

-1.99 = 10x

Finally, isolate x by dividing both sides of the equation by 10:

-1.99/10 = x

Therefore, the solution to the equation is:

x = -0.199