Question

What is the solution to log2(9x)-log2^3=3?

Answer 1

Answer: B or option two on edg

X = 8/3

Explanation:

Answer 2

`x = (8)/(3)` is the solution to
`\log_2 9x - \log_2 3 = 3`

Explanation:

Using the logarithmic rules:

`\log (m)/(n) = \log m -\log n`

if
`\log_b x = a` then;

`x = b^a`

Given the equation:

`\log_2 9x - \log_2 3 = 3`

Solve for x:

Apply the logarithmic rules:

`\log_2 (9x)/(3) = 3`

⇒
`\log_2  3x = 3`

Apply the logarithmic rules;

`3x = 2^3`

⇒
`3x = 8`

Divide both sides by 3 we have;

`x = (8)/(3)`

Therefore, the solution for the given equations is,
`x = (8)/(3)`