CPM Homework Help : INT3 Problem 5-69

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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.		$\log_{1/2}(K) = N$

Answer:

	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.	$K=(\frac{1}{2})^N$	$\log_{1/2}(K) = N$

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