CPM Homework Help : CCA2 Problem 12-122

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12-122.

Solve for $x$ , correct to three decimal places.

$27 = 6^x$
Hint (a):
How do you ''undo'' an exponent?
What do you have to do to both sides of the equation?

$27 =\frac { 1 } { 6 ^ { x } }$
Hint (b):
Rearrange the equation so that the term with the exponent is no longer in the denominator.
Answer (b):
$x ≈ −1.839$

$27=\frac { 1 } { \large{\left( \frac { 1 } { 6 } \right)} ^ { x } }$
Hint (c):
This is the same as part (a). Why?
Answer (c):
$x ≈ 1.839$

Show that $\frac { 1 } { \large{\left( \frac { 1 } { 6 } \right)} ^ { x } }= 6^x$ .
Hint (d):
This is similar to part (c), but you already have the answer!

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