### Home > INT3 > Chapter 5 > Lesson 5.2.2 > Problem5-69

5-69.

Every exponential equation has an equivalent logarithmic form and every logarithmic equation has an equivalent exponential form. For example:

 exponent  $\downarrow$$4^3=64 \text{ is equivalent to } 3=\text{log}_{4}(64)$$\uparrow$                                         $\uparrow$           $\uparrow$base                            exponent     base

Copy the table shown below and fill in the missing form in each row.

 Exponential Form Logarithmic Form a. $y = 5^x$ b. $y = \log_7(x)$ c. $8^x = y$ d. $A^K = C$ e. $K=\log_A(C)$ f. $\log_{1/2}(K) = N$
 Exponential Form Logarithmic Form a. $y = 5^x$ $x=\log_5(y)$ b. $x= 7^y$ $y = \log_7(x)$ c. $8^x = y$ $x=\log_8(y)$ d. $A^K = C$ $K=\log_A(C)$ e. $C = A^K$ $K=\log_A(C)$ f. $K=(\frac{1}{2})^N$ $\log_{1/2}(K) = N$