Using Natural Log and Log-Base-10 - Math

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Question

Based on the definition of logarithms, what is ?

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Answer

For any equation , . Thus, we are trying to determine what power of 10 is 1000. , so our answer is 3.

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Question

What is the value of that satisfies the equation $\log_x128=7$ ?

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Answer

$\log_xa=b$ 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.

$\sqrt[7]{x}=\sqrt[7]{128}$

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Question

$\log_7118=?$

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Answer

Most of us don't know what the exponent would be if and unfortunately there is no $\log_7$ on a graphing calculator -- only $\log$ (which stands for ).

Fortunately we can use the base change rule: $\log_$ba=\frac{\log_{10}$$$a}{\log_{10}$b}$

Plug in our given values.

$\log_$7118=\frac{\log_{10}$$$118}{\log_{10}$7}$

$\log_7118=\frac{2.07}{0.845}$$

$\log_7118=2.45$

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Question

Based on the definition of logarithms, what is ?

Tap to reveal answer

Answer

For any equation , . Thus, we are trying to determine what power of 10 is 1000. , so our answer is 3.

← Didn't Know|Knew It →

Question

What is the value of that satisfies the equation $\log_x128=7$ ?

Tap to reveal answer

Answer

$\log_xa=b$ 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.

$\sqrt[7]{x}=\sqrt[7]{128}$

← Didn't Know|Knew It →

Question

$\log_7118=?$

Tap to reveal answer

Answer

Most of us don't know what the exponent would be if and unfortunately there is no $\log_7$ on a graphing calculator -- only $\log$ (which stands for ).

Fortunately we can use the base change rule: $\log_$ba=\frac{\log_{10}$$$a}{\log_{10}$b}$

Plug in our given values.

$\log_$7118=\frac{\log_{10}$$$118}{\log_{10}$7}$

$\log_7118=\frac{2.07}{0.845}$$

$\log_7118=2.45$

← Didn't Know|Knew It →

Question

Based on the definition of logarithms, what is ?

Tap to reveal answer

Answer

For any equation , . Thus, we are trying to determine what power of 10 is 1000. , so our answer is 3.

← Didn't Know|Knew It →

Question

What is the value of that satisfies the equation $\log_x128=7$ ?

Tap to reveal answer

Answer

$\log_xa=b$ 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.

$\sqrt[7]{x}=\sqrt[7]{128}$

← Didn't Know|Knew It →

Question

$\log_7118=?$

Tap to reveal answer

Answer

Most of us don't know what the exponent would be if and unfortunately there is no $\log_7$ on a graphing calculator -- only $\log$ (which stands for ).

Fortunately we can use the base change rule: $\log_$ba=\frac{\log_{10}$$$a}{\log_{10}$b}$

Plug in our given values.

$\log_$7118=\frac{\log_{10}$$$118}{\log_{10}$7}$

$\log_7118=\frac{2.07}{0.845}$$

$\log_7118=2.45$

← Didn't Know|Knew It →

Question

Based on the definition of logarithms, what is ?

Tap to reveal answer

Answer

For any equation , . Thus, we are trying to determine what power of 10 is 1000. , so our answer is 3.

← Didn't Know|Knew It →

Question

What is the value of that satisfies the equation $\log_x128=7$ ?

Tap to reveal answer

Answer

$\log_xa=b$ 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.

$\sqrt[7]{x}=\sqrt[7]{128}$

← Didn't Know|Knew It →

Question

$\log_7118=?$

Tap to reveal answer

Answer

Most of us don't know what the exponent would be if and unfortunately there is no $\log_7$ on a graphing calculator -- only $\log$ (which stands for ).

Fortunately we can use the base change rule: $\log_$ba=\frac{\log_{10}$$$a}{\log_{10}$b}$

Plug in our given values.

$\log_$7118=\frac{\log_{10}$$$118}{\log_{10}$7}$

$\log_7118=\frac{2.07}{0.845}$$

$\log_7118=2.45$

← Didn't Know|Knew It →

Knew It

Using Natural Log and Log-Base-10 - Math

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

What is the value of that satisfies the equation $\log_x128=7$ ?

$\log_xa=b$ 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.

$\sqrt[7]{x}=\sqrt[7]{128}$

What is the value of that satisfies the equation $\log_x128=7$ ?

$\log_xa=b$ 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.

$\sqrt[7]{x}=\sqrt[7]{128}$

What is the value of that satisfies the equation $\log_x128=7$ ?

$\log_xa=b$ 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.

$\sqrt[7]{x}=\sqrt[7]{128}$

What is the value of that satisfies the equation $\log_x128=7$ ?

$\log_xa=b$ 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.

$\sqrt[7]{x}=\sqrt[7]{128}$