Final answer:
To solve the equation log x (64) = 2, you rewrite it using the exponent form to x^2 = 64, then take the square root of both sides to find that x = 8.
Step-by-step explanation:
To find the value of x in the equation logx (64) = 2, we need to understand the properties of logarithms. The equation means that x raised to the power of 2 equals 64. Therefore, we use the property that logb(a) = c implies bc = a to rewrite the equation as x2 = 64.
Next, to find the value of x, we take the square root of both sides of the equation: x = ±√64. Since we usually look for the positive value of x in logarithmic equations, we find that x = 8 satisfies the original equation.