Question

Find x, if 9 x 3^x = (27)^2x-5

Answer 1

Answer:

17/5

Step-by-step explanation:

9×3∧x can be expressed as 3∧2×3∧x = 3∧(2+x)

(27)∧2x-5 can be expressed as 3∧3(2x-5) = 3∧6x-15

equating both sides we get

3∧(x+2) = 3∧(6x-15)

when bases are equal then must also be equal to have whole equal

∴ x+2 = 6x-15

⇒ 5x=17

x=17/5