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
x=0
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