Question

identify the values of (a), (b), and (c) that make the statement below true.

(log_{2}64 = 6) if and only if (a^{b} = c).

(a = )
(b = )
(c = )

Explanation:

Apply logarithmic definition

Using the Logarithmic and Exponential Inverses and Logarithmic Functions knowledge points

$$ \log_{y}x = z \iff y^z = x $$

Match corresponding terms

Using the Logarithmic Functions knowledge point

$$
LATEXBLOCK0
$$

Answer:

Identify the values of \(a\), \(b\), and \(c\) that make the statement below true.

\(\log_{2}64 = 6\) if and only if \(a^b = c\).

\(a =\) <blank>2</blank>

\(b =\) <blank>6</blank>

\(c =\) <blank>64</blank>