Math question

[ketann]

<p><a href="http://www.madison-schools.com/cms/lib4/MS01001041/Centricity/Domain/699/ACT%20Practice%20Test%201.pdf%5B/url%5D"&gt;http://www.madison-schools.com/cms/lib4/MS01001041/Centricity/Domain/699/ACT%20Practice%20Test%201.pdf&lt;/a&gt;&lt;/p>

<p>someone explain #49 in math for me. how do i do it algebraically? the answer is C.</p>

[MITer94]

<p>We have 8 = 2^3 and 4 = 2^2. So 8^(2x+1) = (2^3)^(2x+1) = 2^(6x+3) (using the property that (a^b)^c = a^(bc)).</p>

<p>Similarly, 4^(1-x) = (2^2)^(1-x) = 2^(2-x).</p>

<p>Equating the exponents, we have 6x+3 = 2-2x, so x = -1/8.</p>

[ketann]

<p>thanks bro!</p>