CPM Homework Help : A2C Problem 11-90

Show how to solve the equations below without using your calculator. You will have radicals or logarithms in your answers. Homework Help ✎
1. 3^x = 17
2. x³ = 17

Step 1(a):

Take the log of both sides.

$\log (3^\textit{x})=\log (17)$

Step 2(a):

Apply the Power Property of Logarithms.

x · log(3) = log(17)

Answer (a):

$\textit{x}= \frac{ \log(17) }{ \log(3)}$

Step 1(b):

Find the cubic root of both sides of the equation.

Answer (b):

$\textit{x}= \sqrt[3]{ 17 }$