Question

if 5^x-3 × 3^2x-8 = 225 find the value of x​

Answer 1

Step-by-step explanation:

value of x is 5

refer to the attachment

Answer 2

Answer:

x is the value.

Step-by-step explanation:

${5}^{x - 3} \times {3}^{2x - 8} = 225$

$\frac{ {5}^{x} }{ {5}^{3} } \times \frac{ {3}^{2x} }{ {3}^{8} } = 225$

$\frac{ {5}^{x} \times {3}^{2x} }{ {5}^{3} \times {3}^{8} } = 25 \times 9$

${5}^{x} \times {3}^{2x} = 25 \times 9 \times {5}^{3} \times {3}^{8}$

${5}^{x} \times {3}^{2x} = {5}^{2} \times {3}^{2} \times {5}^{3} \times {3}^{8}$

${5}^{x} \times {3}^{2x} = {5}^{5} \times {3}^{10}$

From this equation we get the value of x as 5.