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Natali [406]
2 years ago
15

What is the solution to the equation 14 x - 3 = 21 ? (1 points)

Mathematics
2 answers:
ki77a [65]2 years ago
4 0
I got this.... but this is not an option.<span>1.71428571429</span>
ladessa [460]2 years ago
3 0
The answer is <span>x = 4.154
</span>
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 \\ &#10;x = 3 + 1.154 \\ &#10;x = 4.154

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