Question

$5 {}^{x - 3} \times 3 {}^{2x - 8} = 225.$
Find the value of x.Please urgently ​

Answer 1

$\red{♡Answer♡}$

225=5×45

5×45=5×5×9

=5²×3²

compare the degree

x-3=2

x=5

$\pink{Answer:x=5}$

hope it helps .

☆☆☆

Answer 2

Answer:

x = 5

Solution:

We have ;

=> [5^(x-3)] × [3^(2x-8)] = 225

=> [5^(x-3)] × [3^(2x-8)] = 5²×3²

Comparing the powers both sides ,

We have ;

=> x - 3 = 2 and 2x - 8 = 2

=> x = 2 + 3 and 2x = 2 + 8

=> x = 5 and 2x = 10

=> x = 5 and x = 10/2

=> x = 5 and x = 5

=> x = 5

Hence,

x = 5