Exercise 4 Page 301

To solve the given exponential equation, we will start by rewriting the terms so that they have a common base. Let's write the right side of the equation as a power. 4^x = 256 ⇔ 4^x = 4^4Now, we have two equivalent expressions with the same base. If both sides of the equation are equal, the exponents must also be equal. 4^x = 4^4 ⇔ x = 4 Finally, we have found that x=4. To check our answer, we will substitute 4 for x in the given equation.

4^x = 256

Substitute

x= 4

4^4 ? = 256

CalcPow

Calculate power

256 = 256 ✓

Since substituting 4 for x in the given equation produces a true statement, x=4 is the solution to our equation.