Question

Find the value of x.

Answer 1

I think so your question is 5^x-3×3^2x-8=225

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

Hope it helps

Answer 2

Step-by-step explanation:

5ˣ⁻³ .  3²ˣ⁻⁸ = 225

∴  5ˣ⁻³ . 3²ˣ⁻⁸ = 15² = 5² . 3²

on comparing we get

5ˣ⁻³ = 5²    and 3²ˣ⁻⁸ = 3²

∴ x-3 = 2            and   2x-8 = 2

  x = 5                         2x = 10

                                   x = 5

the value of x is 5