How to find an exponent from a rational number - PSAT Math
Card 0 of 70
Which of the following lists the above quantities from least to greatest?
Which of the following lists the above quantities from least to greatest?
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If a piece of pie is cut into 3 sections, and each of those pieces is further cut into three sections, then those pieces are cut into three sections, how many (tiny) pieces of pie are there?
If a piece of pie is cut into 3 sections, and each of those pieces is further cut into three sections, then those pieces are cut into three sections, how many (tiny) pieces of pie are there?
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The answer is 33 = 27
The answer is 33 = 27
Solve for 
.
$2^{x}$= 64
Solve for
$2^{x}$= 64
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Since $2^{x}$= $2^{6}$
Hence 
Since $2^{x}$= $2^{6}$
Hence
Simplify:
Simplify:
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Solve for 
:
Solve for
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From the equation one can see that
Hence 
must be equal to 25.
From the equation one can see that
Hence
Evaluate:
Evaluate:
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Solve for 
.
Solve for
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Solve for 
.
Solve for
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Solve for 
.
Solve for
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Use the rules of logarithms to combine terms.
Hence, 
By fatoring we get 
Hence 
.
However, you cannot take the logarithm of a negative number. Thus, the only value for 
is 
.
Use the rules of logarithms to combine terms.
Hence,
By fatoring we get
Hence
However, you cannot take the logarithm of a negative number. Thus, the only value for
and
Find 
and
Find
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Hence the correct answer is 
.
Hence the correct answer is
Solve for .
$2^{x}$= 64
Solve for
$2^{x}$= 64
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Since $2^{x}$= $2^{6}$
Hence
Since $2^{x}$= $2^{6}$
Hence
If a piece of pie is cut into 3 sections, and each of those pieces is further cut into three sections, then those pieces are cut into three sections, how many (tiny) pieces of pie are there?
If a piece of pie is cut into 3 sections, and each of those pieces is further cut into three sections, then those pieces are cut into three sections, how many (tiny) pieces of pie are there?
Tap to see back →
The answer is 33 = 27
The answer is 33 = 27
Which of the following lists the above quantities from least to greatest?
Which of the following lists the above quantities from least to greatest?
Tap to see back →
Simplify:
Simplify:
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Solve for :
Solve for
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From the equation one can see that
Hence must be equal to 25.
From the equation one can see that
Hence
Evaluate:
Evaluate:
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Solve for .
Solve for
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Solve for .
Solve for
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Solve for .
Solve for
Tap to see back →
Use the rules of logarithms to combine terms.
Hence,
By fatoring we get
Hence .
However, you cannot take the logarithm of a negative number. Thus, the only value for is .
Use the rules of logarithms to combine terms.
Hence,
By fatoring we get
Hence
However, you cannot take the logarithm of a negative number. Thus, the only value for
and
Find
and
Find
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Hence the correct answer is .
Hence the correct answer is