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Question:

Which exponential equation represents this logarithmic equation?
$6705_w324_h19.png$

A $6854_w112_h41.png$
Explaination

Use the properties of logarithms to condense the given equation, then use the equivalence between logarithms and exponents to determine
$8382_w324_h19.png$, which becomes
$6193_w268_h21.png$, which becomes
$3955_w142_h41.png$
Recall that a logarithm of the form $8506_w85_h17.png$ can be written as an exponential equation as $2403_w61_h16.png$
Applying this to the logarithm above:
$1574_w112_h41.png$