CPM Homework Help : PC3 Problem 12-31

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12-31.

Solve each of the following equations.

$18(1.03)^x − 20 = 300$
Step 1(a):
$18(1.03)^x=320$
Step 2(a):
$1.03^x=\frac{320}{18}$
Step 3(a):
$\log(1.03^x)=\log\left(\frac{320}{18}\right)$

$\log_2(5) + \log_2(x) = 3$
Step 1(b):
$\log_2(5+x)=3$
Step 2(b):
$2^3=5+x$

$8x^{2.7} = 160$
Step 1(c):
$x^{2.7}=20$
Step 2(c):
$(x^{2.7})^{1/2.7}=20^{1/2.7}$

$\log_3(x + 5) − \log_3(x − 1) = 1$
Step 1(d):
$\log_3\left(\frac{x+5}{x-1}\right)=1$
Step 2(d):
$3^1=\frac{x+5}{x-1}$

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