Round to the nearest thousandth.
-$$183 ( 1.88 ) ^ { x / 3 } = 366$$
A) {2.732}
B) {1.314}
C) {5.274}
D) {3.294}

Question

Quizplus · Accepted Answer

To solve for $ x $, divide both sides by 183 to get $ (1.88)^{x/3} = 2 $. Take the logarithm of both sides: $ \log((1.88)^{x/3}) = \log(2) $. This simplifies to $ \frac{x}{3} \log(1.88) = \log(2) $. Solving for $ x $, we get $ x = 3 \frac{\log(2)}{\log(1.88)} $. Calculating this gives approximately 3.294.

Round to the Nearest Thousandth 183(1.88)x/3=366183 ( 1.88 ) ^ { x / 3 } = 366183(1.88)x/3=366

Round to the Nearest Thousandth $183 ( 1.88 ) ^ { x / 3 } = 366$