Question
Which option is correct How can a table of values be created in order to graph a logarithmic function?
A. Plug in only even y-values to the logarithmic equation to find corresponding odd x-values. B. Plug in y-values to the logarithmic equation to find the corresponding x-values. C. Rewrite the logarithm in exponential form and plug in the x-values. D. Rewrite the logarithm in exponential form and plug in the y-values.
A. Plug in only even y-values to the logarithmic equation to find corresponding odd x-values. B. Plug in y-values to the logarithmic equation to find the corresponding x-values. C. Rewrite the logarithm in exponential form and plug in the x-values. D. Rewrite the logarithm in exponential form and plug in the y-values.
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GPT-4o mini
The correct option is **C. Rewrite the logarithm in exponential form and plug in the x-values.**
To create a table of values for a logarithmic function, you would typically start with x-values (inputs) and use the logarithmic equation to find the corresponding y-values (outputs). Since logarithmic functions can be expressed in their equivalent exponential form, this approach allows you to easily calculate the corresponding outputs.
For example, if you start with the logarithmic function \( y = \log_b(x) \), you can rewrite this in exponential form as \( x = b^y \) and choose values for \( y \) to find corresponding x-values.
To create a table of values for a logarithmic function, you would typically start with x-values (inputs) and use the logarithmic equation to find the corresponding y-values (outputs). Since logarithmic functions can be expressed in their equivalent exponential form, this approach allows you to easily calculate the corresponding outputs.
For example, if you start with the logarithmic function \( y = \log_b(x) \), you can rewrite this in exponential form as \( x = b^y \) and choose values for \( y \) to find corresponding x-values.
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