Question

solve the following 3^x-5 = 1/9^x​

Answer 1

Answer:Refer this attachment ✌️

x=1

Hope this is helpful to you. ✌️✌️✌️

Hope this is helpful to you. ✌️✌️✌️

Answer 2

$\bf\large\underline\blue{Question:-}$

• Solve the equation ${3}^{(x - 5)} = \frac{1}{9^{x} }$

$\bf\large\underline\blue{Solution:-}$

${3}^{(x - 5)} = \frac{1}{9^{x} }$

$\implies {3}^{(x - 5)} = \frac{1}{3^{2x} }$

$\implies {3}^{(x - 5)} = 3^{ - 2x}$

$\bf\underline\blue{Comparing\:base,\:we\:get,}$

$x - 5 = - 2x$

$\implies x + 2x = 5$

$\implies 3x = 5$

$\implies x = \frac{5}{3}$

$\implies x = 1\frac{2}{3}$

$\bf\large\underline\blue{Answer:-}$

• The value of $x$ is $1\frac{2}{3}$