solve for x: log4 X - log4 2 = 2
log(2x) = 2
Now what do I do?
Imagine that you have a base of 10 down below and the just plain 2 is an exponent.
2x= 10^2
2x= 100
x=50
See above. I answered the most recent one first.
To continue solving for x in the equation log(2x) = 2, you can follow these steps:
Step 1: Understand the equation
The equation log(2x) = 2 means that the logarithm with base 10 of 2x equals 2.
Step 2: Apply the definition of logarithm
By definition, log(b) x = y can be rewritten as b^y = x. In this case, b is 10.
Step 3: Rewrite the equation
Using the definition of logarithm, the equation log(2x) = 2 can be rewritten as 10^2 = 2x.
Step 4: Simplify
Solve 10^2 to find the value of x:
10^2 = 100
So, 100 = 2x.
Step 5: Solve for x
Divide both sides of the equation by 2:
100/2 = 2x/2
50 = x
Therefore, the solution to the equation log(2x) = 2 is x = 50.