QuestionWrite the following equation in its equivalent logarithmic form. $$\sqrt[3]{64}=4$$
The equation in logarithmic form is $\square$ (Type an equation.)

Studdy Solution
Convert the exponential equation to logarithmic form. The general form for converting $a^b = c$ to logarithmic form is $\log_a{c} = b$.
For our equation $64^{\frac{1}{3}} = 4$, the base is 64, the exponent is $\frac{1}{3}$, and the result is 4. Thus, the logarithmic form is:
$$\log_{64}{4} = \frac{1}{3}$$
The equation in logarithmic form is:
$$\log_{64}{4} = \frac{1}{3}$$