<PRE><B>Question 1195515</B>
&lt;br&gt;
(1) Read the given equation out loud: &quot;x is the logarithm, base 2, of 1/8&quot;.&lt;br&gt;
(2) Now say out loud 100 times (okay, maybe 3 or 4): &quot;The logarithm is the exponent&quot;.&lt;br&gt;
Now you know the base is 2 and the exponent is x; so the &quot;1/8&quot; has to be the answer:&lt;br&gt;
{{{2^x = 1/8}}}&lt;br&gt;
Then solve by writing 1/8 as a power of 2:&lt;br&gt;
{{{2^x = 2^(-3)}}}&lt;br&gt;
The bases are the same, so the exponents are equal:&lt;br&gt;
{{{x = -3}}}&lt;br&gt;
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