Question

I will mark as brainliest whoever guves answer
class 9 maths ch1​

Answer 1

Step-by-step explanation:

Given:-

5^(x-3) . 3^(2x-8) = 225

To find :-

Find the value of x ?

Solution :-

Given that :

5^(x-3) . 3^(2x-8) = 225

225 can be written as

225=15×15 = (3×5)×(3×5) = 3^2 × 5^2

5^(x-3) . 3^(2x-8) = 5^2 × 3^2

On comparing both sides then

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

Since x^m = x^n => m = n

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

=> x = 5 and 2x = 10

=> x = 5 and x = 10/2

=> x = 5 and x = 5

Therefore, x = 5

Answer:-

The value of x for the given problem is 5

Check:-

If x = 5 then LHS of the given equation

=> 5^(x-3) . 3^(2x-8)

=> 5^(5-3) × 3^(2×5-8)

=> 5^2 × 3^(10-8)

=> 5^2 × 3^2

=> 5×5×3×3

=> 225

=> RHS

LHS = RHS is true for x = 5

Verified the given relations in the given problem.

Used formulae:-

• If x^m = x^n then m = n