Question

(3x3power5x)÷9power2x=1/27

Answer 1

Answer:

x= -2

Step-by-step explanation:

$3 \times {3}^{5x} \div {9}^{2x} = \frac{1}{27}$

$log(3) + 5x log(3) - 2x log(9) = \ log( \frac{1}{27} )$

$0.4771+ 5x(0.4771)-2x(0.9542) = −1.4313$

$\\ 0.4771 +2.3855x - 1.9084x = \\ - 1.4313$

$0.4771 + 0.4771x = - 1.4313 \\ 0.4771x = 0.4771 - 1.431$

$0.4771x = - 0.9542 \\ x = \frac{ - 0.9542}{0.4771} \\ x = - 2$