Question

If 3power 3x-5 =
1/9x then the value of x is _____
plz help i will mark u the brainful

Answer 1

Answer:

x=1 note: here this symbol ^ indicates power

Step-by-step explanation:

3^(3x-5) = (1/9)^x

apply log on both sides

we know that log (a^x) = x log(a)

(3x-5) log(3) = x log (1/9)

we also know that log(1/a) = - log(a)

(3x-5) log(3) = -x log(9)

here log(9) can be written as log(3^2) = 2 log(3)

(3x-5) log(3) = -2x log(3)

cancel log(3) terms on both sides

3x-5 = -2x

3x+2x = 5

5x = 5

x=1

so answer is x=1