Question

Find the value of x, if 5^x-3 × 5^2x-8 = 5^5

Answer 1

Step-by-step explanation:

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

We can write 225 as follows:-

225 = 3 × 75

= 3 × 3 × 25

= 3 × 3 × 5 × 5

∴ 5^x-3. 3^2x-8 = 5²×3²

Compare both,

5^x-3=5² | 3^2x-8=3²

Bases are equal exponents must be equal.

x-3=2. | 2x-8=2

x=5. | 2x=10,x=5

Therefore,the value if x is 5