Question
What is the first step in proving that 10^log100=100
?(1 point)
Responses
Cancel out the exponential base 10 and the logarithm.
Cancel out the exponential base 10 and the logarithm.
Divide both sides of the equation by 10.
Divide both sides of the equation by 10.
Determine what log100
is equal to.
Determine what logarithm 100 is equal to.
Solve the equation 10x=100
.
?(1 point)
Responses
Cancel out the exponential base 10 and the logarithm.
Cancel out the exponential base 10 and the logarithm.
Divide both sides of the equation by 10.
Divide both sides of the equation by 10.
Determine what log100
is equal to.
Determine what logarithm 100 is equal to.
Solve the equation 10x=100
.
Answers
GPT-4o mini
The first step in proving that \( 10^{\log 100} = 100 \) is:
**Determine what \(\log 100\) is equal to.**
This involves recognizing that the logarithm will help simplify the expression. Since \( 100 = 10^2 \), you can find that \(\log 100 = 2\), which leads you to see that \( 10^{\log 100} = 10^2 = 100 \).
**Determine what \(\log 100\) is equal to.**
This involves recognizing that the logarithm will help simplify the expression. Since \( 100 = 10^2 \), you can find that \(\log 100 = 2\), which leads you to see that \( 10^{\log 100} = 10^2 = 100 \).