Using Natural Log and Log-Base-10 - Math
Card 0 of 12
Based on the definition of logarithms, what is
?
Based on the definition of logarithms, what is ?
For any equation
,
. Thus, we are trying to determine what power of 10 is 1000.
, so our answer is 3.
For any equation ,
. Thus, we are trying to determine what power of 10 is 1000.
, so our answer is 3.
Compare your answer with the correct one above
What is the value of
that satisfies the equation
?
What is the value of that satisfies the equation
?
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.

![\sqrt[7]{x}=\sqrt[7]{128}](//cdn-s3.varsitytutors.com/uploads/formula_image/image/1105254/gif.latex)

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.
Compare your answer with the correct one above
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 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.
Compare your answer with the correct one above
Based on the definition of logarithms, what is
?
Based on the definition of logarithms, what is ?
For any equation
,
. Thus, we are trying to determine what power of 10 is 1000.
, so our answer is 3.
For any equation ,
. Thus, we are trying to determine what power of 10 is 1000.
, so our answer is 3.
Compare your answer with the correct one above
What is the value of
that satisfies the equation
?
What is the value of that satisfies the equation
?
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.

![\sqrt[7]{x}=\sqrt[7]{128}](//cdn-s3.varsitytutors.com/uploads/formula_image/image/1105254/gif.latex)

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.
Compare your answer with the correct one above
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 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.
Compare your answer with the correct one above
Based on the definition of logarithms, what is
?
Based on the definition of logarithms, what is ?
For any equation
,
. Thus, we are trying to determine what power of 10 is 1000.
, so our answer is 3.
For any equation ,
. Thus, we are trying to determine what power of 10 is 1000.
, so our answer is 3.
Compare your answer with the correct one above
What is the value of
that satisfies the equation
?
What is the value of that satisfies the equation
?
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.

![\sqrt[7]{x}=\sqrt[7]{128}](//cdn-s3.varsitytutors.com/uploads/formula_image/image/1105254/gif.latex)

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.
Compare your answer with the correct one above
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 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.
Compare your answer with the correct one above
Based on the definition of logarithms, what is
?
Based on the definition of logarithms, what is ?
For any equation
,
. Thus, we are trying to determine what power of 10 is 1000.
, so our answer is 3.
For any equation ,
. Thus, we are trying to determine what power of 10 is 1000.
, so our answer is 3.
Compare your answer with the correct one above
What is the value of
that satisfies the equation
?
What is the value of that satisfies the equation
?
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.

![\sqrt[7]{x}=\sqrt[7]{128}](//cdn-s3.varsitytutors.com/uploads/formula_image/image/1105254/gif.latex)

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.
Compare your answer with the correct one above
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 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.
Compare your answer with the correct one above