Question

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

Answer 1

Answer:

x= 8/3

Step-by-step explanation:

Answer 2

Answer:

$x = \frac{8}{3}$ is the solution to  $\log_2 9x - \log_2 3 = 3$

Step-by-step explanation:

Using the logarithmic rules:

$\log \frac{m}{n} = \log m -\log n$

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:

$\log_2 \frac{9x}{3} = 3$

⇒$\log_2 3x = 3$

Apply the logarithmic rules;

$3x = 2^3$

⇒$3x = 8$

Divide both sides by 3 we have;

$x = \frac{8}{3}$

Therefore, the solution for the given equations is, $x = \frac{8}{3}$