Convert the exponential equations into logarithmic form: (a) $$ 4^{5}=1024 $$ is equivalent to $$ \log _{4} C=D $$. $$ C=\square $$ and $$ D=\square $$ (b) $$ 216=6^{3} $$ is equivalent to $$ \log _{6} E=F $$. $$ E=\square $$ and $$ F=\square $$ (c) $$ 10^{4}=10000 $$ is equivalent to $$ \log _{10} G=H $$. (d) $$ 0.1=10^{-1} $$ is equivalent to $$ \log _{10} J=K $$. (d) $$ K=\square=\square $$ $$ J=\square $$ and $$ H=\square $$

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(a) We have
$$
4^5=1024.
$$
Converting to logarithmic form gives
$$
\log_4(1024)=5.
$$
Thus, 
$$
C=1024 \quad \text{and} \quad D=5.
$$

(b) We have
$$
216=6^3.
$$
Converting to logarithmic form gives
$$
\log_6(216)=3.
$$
Thus,
$$
E=216 \quad \text{and} \quad F=3.
$$

(c) We have
$$
10^4=10000.
$$
Writing in logarithmic form gives
$$
\log_{10}(10000)=4.
$$
Thus,
$$
G=10000 \quad \text{and} \quad H=4.
$$

(d) We have
$$
0.1=10^{-1}.
$$
Converting to logarithmic form gives
$$
\log_{10}(0.1)=-1.
$$
Thus,
$$
J=0.1 \quad \text{and} \quad K=-1.
$$

Also, from part (c) we have 
$$
H=4.
$$
(a) $$ C = 1024 $$ and $$ D = 5 $$ (b) $$ E = 216 $$ and $$ F = 3 $$ (c) $$ G = 10000 $$ and $$ H = 4 $$ (d) $$ J = 0.1 $$ and $$ K = -1 $$

Convert the exponential equations into logarithmic form:
(a) is equivalent to .
and
(b) is equivalent to .
and
© is equivalent to .
(d) is equivalent to .
(d)

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Convert the exponential equations into logarithmic form: (a) is equivalent to . and (b) is equivalent to . and © is equivalent to . (d) is equivalent to . (d) and