Is this correct?
Rewrite as an equivalent exponential equation. Do not solve.
log[8](64)=2
Answer= 8^2=64
correct
Yes, your answer is correct. To rewrite the given logarithmic equation as an equivalent exponential equation, you can transform the equation using the following rule:
log(base a)(b) = c is equivalent to a^c = b
In this case, the given equation is log[8](64) = 2. Rearranging the equation using the rule, we have:
8^2 = 64
Therefore, the equivalent exponential equation is 8 raised to the power of 2 equals 64, which is true.
Well done!