How do you solve $9(16)^(2x)=589824$ ?

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Answer 1 · 2016-09-13T18:59:00

$x=2$

Start off by dividing both sides of the equation by $9$

$(16)^(2x)=65536$

Now we can rewrite in terms of base $2$

$(2^4)^(2x)=2^16$

Using rules of exponents we can write

$2^(8x)=2^16$

Since both sides of the equation are written in terms of the same base we can write

$8x=16$

Dividing both sides by $8$ we get

$x=2$

How do you solve 9(16)^(2x)=5898249(16)^(2x)=589824?