Question

solve for p.
2^p = 128
p = \square
submit

Explanation:

Step1: Express 128 as a power of 2

We know that \(2^7 = 128\) because \(2\times2\times2\times2\times2\times2\times2 = 128\).

Step2: Equate the exponents

Given the equation \(2^p=128\), and we just found that \(128 = 2^7\), so we can rewrite the equation as \(2^p = 2^7\). Since the bases are the same and the exponential function is one - to - one, the exponents must be equal. So \(p = 7\).

Answer:

\(7\)