Exercise 7 Page 303

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. 2^x = 64 ⇔ 2^x = 2^6Now, we have two equivalent expressions with the same base. If both sides of the equation are equal, the exponents must also be equal. 2^x = 2^6 ⇔ x = 6 Finally, we have found that x=6. To check our answer, we will substitute 6 for x in the given equation.

2^x = 64

Substitute

x= 6

2^6 ? = 64

CalcPow

Calculate power

64 = 64 ✓

Since substituting 6 for x in the given equation produces a true statement, x=6 is the solution to our equation.