Video Transcript
Express log of one million equals six in its equivalent exponential form.
In order to convert from logarithmic form to exponential form or vice versa, we recall the following rule. If log base 𝑎 of 𝑥 is equal to 𝑏, then 𝑥 is equal to 𝑎 to the power of 𝑏. We also recall that when the base is not written in a logarithmic expression, we are dealing in base 10. This means that in this question, the value of 𝑎 is 10. 𝑏 is equal to six. 𝑥 is equal to one million. Log of one million equals six written in its equivalent exponential form is 10 to the power of six equals one million.
We know this is correct as 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 is one million. This rule could be used to convert from logarithmic to exponential form or vice versa.
