Question

If 5^(x-3)×3^(2x-8)=225, find the value of x
just for checking. the answers are not given in mine.
thanks

Answer 1

Answer:

x = 5

Step-by-step explanation:

${5}^{x - 3} \times {3}^{2x - 8} = 225 \\ {5}^{x - 3} \times {3}^{2x - 8} = 15 \times 15 = {5}^{2} \times {3}^{2}$

With same base,

x - 3 = 2

x = 5

or 2x - 8 = 2

2x = 10

x = 5