How do you solve $1/4(4)^(2x)+1=5$ ?

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Answer 1 · 2016-09-05T17:37:30

$x=1$

Isolate the the term with the variable:
$1/4(4)^(2x) = 4$

Get rid of the denominator:
$(4)^(2x) = 4xx4$

Make the bases the same:
$(4)^(2x) = 4^2$

Equate the indices and solve for x:
$2x = 2$

$x = 1$

How do you solve 1/4(4)^(2x)+1=51/4(4)^(2x)+1=5?