Understanding Logarithms - Math
Card 0 of 12
Based on the definition of logarithms, what is 
?
Based on the definition of logarithms, what is
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For any equation 
, 
. Thus, we are trying to determine what power of 10 is 1000. 
, so our answer is 3.
For any equation
What is the value of 
that satisfies the equation 
?
What is the value of 
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is equivalent to 
. In this case, you know the value of 
(the argument of a logarithmic equation) and b (the answer to the logarithmic equation). You must find a solution for the base.
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Most of us don't know what the exponent would be if 
and unfortunately there is no 
on a graphing calculator -- only 
(which stands for 
).
Fortunately we can use the base change rule: 
Plug in our given values.
Most of us don't know what the exponent would be if
Fortunately we can use the base change rule:
Plug in our given values.
Based on the definition of logarithms, what is ?
Based on the definition of logarithms, what is
Tap to see back →
For any equation , . Thus, we are trying to determine what power of 10 is 1000. , so our answer is 3.
For any equation
What is the value of that satisfies the equation ?
What is the value of
Tap to see back →
is equivalent to . In this case, you know the value of (the argument of a logarithmic equation) and b (the answer to the logarithmic equation). You must find a solution for the base.
Tap to see back →
Most of us don't know what the exponent would be if and unfortunately there is no on a graphing calculator -- only (which stands for ).
Fortunately we can use the base change rule:
Plug in our given values.
Most of us don't know what the exponent would be if
Fortunately we can use the base change rule:
Plug in our given values.
Based on the definition of logarithms, what is ?
Based on the definition of logarithms, what is
Tap to see back →
For any equation , . Thus, we are trying to determine what power of 10 is 1000. , so our answer is 3.
For any equation
What is the value of that satisfies the equation ?
What is the value of
Tap to see back →
is equivalent to . In this case, you know the value of (the argument of a logarithmic equation) and b (the answer to the logarithmic equation). You must find a solution for the base.
Tap to see back →
Most of us don't know what the exponent would be if and unfortunately there is no on a graphing calculator -- only (which stands for ).
Fortunately we can use the base change rule:
Plug in our given values.
Most of us don't know what the exponent would be if
Fortunately we can use the base change rule:
Plug in our given values.
Based on the definition of logarithms, what is ?
Based on the definition of logarithms, what is
Tap to see back →
For any equation , . Thus, we are trying to determine what power of 10 is 1000. , so our answer is 3.
For any equation
What is the value of that satisfies the equation ?
What is the value of
Tap to see back →
is equivalent to . In this case, you know the value of (the argument of a logarithmic equation) and b (the answer to the logarithmic equation). You must find a solution for the base.
Tap to see back →
Most of us don't know what the exponent would be if and unfortunately there is no on a graphing calculator -- only (which stands for ).
Fortunately we can use the base change rule:
Plug in our given values.
Most of us don't know what the exponent would be if
Fortunately we can use the base change rule:
Plug in our given values.