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OpenStudy (anonymous):
If (44)x = 432, what is the value of x?
4
7
8
28
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OpenStudy (anonymous):
\[4^{4})x = 4^{32}\]
OpenStudy (michele_laino):
is your equation like this?
\[\Large {44^x} = 432\]
OpenStudy (anonymous):
no its like the one i just wrote in there
OpenStudy (michele_laino):
sorry!
OpenStudy (anonymous):
its okay (:
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OpenStudy (anonymous):
x=8
OpenStudy (anonymous):
your not supposed to give the answer
OpenStudy (michele_laino):
then we have to divide both sides by 4^4, so we get:
\[\Large \frac{{{4^4}x}}{{{4^4}}} = \frac{{{4^{32}}}}{{{4^4}}}\]
please simplify
OpenStudy (anonymous):
32/ 4 = 8 s therefore x=8
OpenStudy (anonymous):
you have to multiply the exponents that are 4 and x and make them equal to 32
4*x=32
x=32/4
x=8
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OpenStudy (michele_laino):
hint:
\[\Large \begin{gathered}
\frac{{{4^4}}}{{{4^4}}} = {4^4}:{4^4} = {4^{4 - 4}} = {4^0} = ... \hfill \\
\hfill \\
\frac{{{4^{32}}}}{{{4^4}}} = {4^{32}}:{4^4} = {4^{32 - 4}} = ...? \hfill \\
\end{gathered} \]
OpenStudy (anonymous):
michele the answer is x=8 i already got it
OpenStudy (michele_laino):
ok! then your equation is:
\[\Large {4^{4x}} = {4^{32}}\]
OpenStudy (anonymous):
so the answer is 8
OpenStudy (michele_laino):
good job! @ana123456
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OpenStudy (michele_laino):
correct!
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