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i got this.... but this is not an option.1.71428571429

JcAlmighty

The answer is x = 4.154

Our expression is \(14^{x-3} =21\)
Logarith both sides of the expression:
\(log(14^{x-3}) =log(21)\)
Since \(log( x^{a}) = a*log(x)\), then \(log( 14^{x-3}) = (x-3)*log(14)\)

Back to our expression:
\((x-3)*log(14)=log(21)\)
\(x-3 = \frac{log(21)}{log(14)}\)
\(x-3= \frac{1.322}{1.146}\)
\(x -3 = 1.154 \\ x = 3 + 1.154 \\ x = 4.154\)

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