solve for x: log4 X - log4 2 = 2
log(2x) = 2
Now what do I do?
base 10 you keep the base down low
10^2=2x The log is the exponent
100=2x
50=x
Are those 4's down low? Then they are bases. Whatever the log equals is an exponent. 4^2=2x 16=2x 8=x
To solve the equation log(2x) = 2, you need to isolate x. Here's how you can do it:
Step 1: Rewrite the equation using the logarithmic property.
log(2x) = log(10^2)
Step 2: Apply the logarithmic property, which states that log(A^B) = B*log(A).
2x = 10^2
Step 3: Simplify the right side of the equation.
2x = 100
Step 4: Solve for x by dividing both sides of the equation by 2.
x = 100/2
So, the solution to the equation log(2x) = 2 is x = 50.