Question

5^x-3 ×3^2x-8=225, proof x=5

Answer 1

Hey mate !!

Here's the answer !!

Let us assume the powers to be equal in both the cases.

=> x - 3 = 2x - 8

So since powers are same we can multiply the bases.

( 5 * 3 ) ^ x - 3 = 225

=> ( 15 ) ^ x - 3 = 225

We know that 225 = 15 ^ 2

So we can write 225 in the form of exponents. We get,

= ( 15 ) ^ x - 3 = ( 15 ) ^ 2

Bases are same, so equate the powers. We get,

x - 3 = 2

=> x = 2 = 3 = 5

Hence x = 5

Now substitute value of x and check whether the powers are equal which we assumed.

x - 3 = 2x - 8

Substituting x = 5, we get,

5 - 3 = 2 ( 5 ) - 8

2 = 10 - 8 

2 = 2

Hence our assumption was right. 

Hence proved.

Hope my answer helps !!

Cheers !!

Answer 2

Answer:

⇒x = 5

Step-by-step explanation:

Refer to the attachment^^