Question

find the value of x for which 4/9^x × 3/2^-1 = 8/27
رولا
find the value of x for which 4/9^x × 3/2^-1 = 8/27
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Answer 1

Answer:

x = 2

Step-by-step explanation:

$\frac{4}{ {9}^{x} } \times \frac{3}{ {2}^{ - 1} } = \frac{8}{27} \\ \frac{4}{ {9}^{x} } \times 3 \times 2 = \frac{8}{27} \: \: \: \: ( \frac{1}{ {a}^{ - 1} } = a) \\ \frac{4}{ {9}^{x} } \times \frac{2}{ {3}^{ - 1} } = \frac{8}{27} \\ \frac{4}{ {( {3}^{2} )}^{x} } \times \frac{2}{ {3}^{ - 1} } = \frac{8}{27} \\ \frac{8}{ {3}^{2x} \times {3}^{ - 1} } = \frac{8}{ {3}^{3} } \\ \\ { 3}^{2x - 1} = {3}^{3} \\ 2x - 1 = 3 \\ 2x = 4 \\ x = 2$