Solve

Log[8](log[5]x)=0

To solve the equation log[8](log[5]x) = 0, we can follow these steps:

Step 1: Rewrite the equation using logarithm properties.
Since the base of the logarithm is 8, we can rewrite the equation as:
log[8](log[5]x) = log[8](1)

Step 2: Apply the property of logarithms.
According to the property log[b](b^a) = a, the equation can be rewritten as:
log[5]x = 1

Step 3: Rewrite the equation using exponential form.
Using the definition of logarithms, we can rewrite the equation as:
5^1 = x

Step 4: Simplify the equation.
5 = x

Therefore, the solution to the equation log[8](log[5]x) = 0 is x = 5.