Express the equation in logarithmic form: (a) $$ 4^{5}=1024 $$ is equivalent to $$ \log _{4} A=B $$. $$ A=\square $$ and $$ B=\square $$ (b) $$ 10^{-2}=0.01 $$ is equivalent to $$ \log _{10} C=D $$. $$ C=\square $$ and $$ D=\square $$ Question Help: $$ \square $$ Video

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1. For the equation $$4^5 = 1024$$:
   - To express this in logarithmic form, recall that if $$a^b = c$$, then $$\log_a c = b$$.
   - Thus, $$ \log_4 1024 = 5 $$.
   - Therefore, we have:
     - $$ A=1024 $$
     - $$ B=5 $$

2. For the equation $$10^{-2} = 0.01$$:
   - Using the same logarithmic conversion, if $$a^b = c$$, then $$\log_a c = b$$.
   - Hence, $$ \log_{10} 0.01 = -2 $$.
   - Therefore, we have:
     - $$ C=0.01 $$
     - $$ D=-2 $$
$$ A=1024 $$, $$ B=5 $$, $$ C=0.01 $$, $$ D=-2 $$.

Express the equation in logarithmic form:
(a) is equivalent to .

and

(b) is equivalent to .

and

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Express the equation in logarithmic form: (a) is equivalent to . and (b) is equivalent to . and Question Help: Video