Exercise 8 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. 3^x = 243 ⇔ 3^x = 3^5Now, we have two equivalent expressions with the same base. If both sides of the equation are equal, the exponents must also be equal. 3^x = 3^5 ⇔ x = 5 Finally, we have found that x=5. To check our answer, we will substitute 5 for x in the given equation.

3^x = 243

Substitute

x= 5

3^5 ? = 243

CalcPow

Calculate power

243 = 243 ✓

Since substituting 5 for x in the given equation produces a true statement, x=5 is the solution to our equation.