Question

Solve the equation 25 = sqrt5^(2x + 6). Using complete sentences, explain the strategy used in solving this equation.

Answer 1

Square both sides

Answer 2

You need to use equation editor, otherwise I can't understand the equation!

Answer 3

It looks like it should be something like this...I guess
\[25=\sqrt{5^(2x+6}\]
And if Im correct... then you can solve by using the property of logarithms

Answer 4

\[25=\sqrt{5^{2x+6}}=(\sqrt{5})^{2x+6} \implies 2x+6=4 \implies x= -1\]