CPM Homework Help : A2C Problem 11-63

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Home > A2C > Chapter Ch11 > Lesson 11.2.2 > Problem 11-63

11-63.

Solve each equation.

$\operatorname{log}_{5}\left(2x\right) = 3$
Hint (a):
Use the definition of a logarithm.
Step (a):
$5^3=2x$

$\operatorname{log}_{5}\left(x + 1\right) = −1$
Hint (b):
See part (a).

$\operatorname{log}\left(4\right) − \operatorname{log}\left(x\right) = 2$
Hint (c):
Use the properties of logarithms.
Step 1(c):
$\log\left(\frac{4}{x}\right)=2$
Step 2(c):
$10^2=\frac{4}{x}$

$2\operatorname{log}_{3}\left(6\right) + \operatorname{log}_{3}\left(y\right) = 4$
Step (d):
$\log_3(6^2y)=4$

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