Question

5 power x minus 3 into 3 power 2 x minus 8 is equal to 225 find x

Answer 1

Ans.

${5}^{x - 3} \times {3}^{2x - 8} = 225 \\ or \: \: {5}^{x - 3} \times {3}^{2x - 8} = {5}^{2} \times {3}^{2} \\ or \: \: {5}^{x - 3} \times {3}^{2x - 8} = {5}^{5 - 3} \times {3}^{10 - 8}$
Comparing, we get
$x = 5$

I HOPE THAT THIS HELPS YOU.

Answer 2

Answer:

The answer is 5.

Step-by-step explanation:)

5^(x-3) × 3^(2x-8) = 225

(5×3)^(x - 3 + 2x- 8)=(15)^4

15^(3x-11)=(15)^4

So by comparing,

We get,

3x-11=4

3x=4+11

3x=15

x=15/3

x=5 ——Answer..yey...

Hope it helps you...☺️☺️