Question

Solve the equation 8= √2 ^(4x+8) . Using complete sentences, explain the strategy used in solving this equation.

Answer 1

take log of both the sides
log 8 = log (sqrt(2)^(4x + 8))
...can you proceed now ?

Answer 2

\[8=\sqrt{2^{4x+8}}\]

Squaring Both Sides

\[(8)^2=(\sqrt{2^{(4x+8)}})^2\]

\[64=2^{(4x+8)}\]

\[2^6=2^{(4x+8)}\]

\[6=4x+8\]

\[4x=6-8\]

\[4x=-2\]

\[x=-\frac{ 1 }{ 2 }\]