Question

Find p in this equation:
2^3=4^p

Answer 1

p = 3/2

Explanation:

2^3 = 4^p

Apply exponent rules:

3 = 2p

Divide 2 from both sides:

3/2 = p

p = 3/2

Answer 2

`\sf p = (3)/(2)`

Explanation:

To solve the equation
`\sf 2^3=4^p` , we can write both sides of the equation in terms of the same base.

We know that 4 = 2², so we can rewrite the right-hand side of the equation as
`\sf 2^(2p)`.

This gives us the following equation:

`\sf 2^3 = 2^(2p)`

Now, we can set the exponents equal to each other to get:

3 = 2p

Dividing both sides of the equation by 2, we get:

`\sf p = (3)/(2)`

Therefore, the solution to the equation is:

`\sf p = (3)/(2)`