Answer: x=1/4
Work:
Log(4x)=0
First we need to rewrite this in exponential form. Using the definition of logarithm. If x and b are positive real numbers and b≠1, then logb(x)=y is also equivalent to b^9=x
10^0=4x
Rewrite the equation as
4x=10^0
Anything raised to 0 is 1
4x=1
Divide each term by 4
x= 1/4