\({16}^{\frac{x}{2}}=64\) Solve for x and please show how you got to your answer.
Take logs to base 4 of both sides:
\(16^{x/2}=64\\.\\\frac{x}{2}log_416=log_464\\.\\ \frac{x}{2}\times 2=3\\.\\x=3\)
Note that log416 = 2 because 42 = 16 and log464 = 3 because 43 = 64
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+1904 
