CPM Homework Help : A2C Problem 11-90

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Home > A2C > Chapter 11 > Lesson 11.2.4 > Problem 11-90

11-90.

Show how to solve the equations below without using your calculator. You will have radicals or logarithms in your answers.

$3^{x} = 17$
Step 1(a):
Take the log of both sides.
$\log (3^\textit{x})=\log (17)$
Step 2(a):
Apply the Power Property of Logarithms.
$x · \operatorname{log}\left(3\right) = \operatorname{log}\left(17\right)$
Answer (a):
$\textit{x}= \frac{ \log(17) }{ \log(3)}$

$x^{3} = 17$
Step 1(b):
Find the cubic root of both sides of the equation.
Answer (b):
$\textit{x}= \sqrt[3]{ 17 }$

Computer without a calculator.

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