Question
What is the first step in proving that 10log100=100%0D%0A10%0D%0Alog%0D%0A%E2%81%A1%0D%0A100%0D%0A=%0D%0A100%0D%0A?(1 point)%0D%0AResponses%0D%0A%0D%0ADivide both sides of the equation by 10.%0D%0ADivide both sides of the equation by 10.%0D%0A%0D%0ADetermine what log100%0D%0Alog%0D%0A%E2%81%A1%0D%0A100%0D%0A is equal to.%0D%0ADetermine what logarithm 100 is equal to.%0D%0A%0D%0ASolve the equation 10x=100%0D%0A10%0D%0Ađ„%0D%0A=%0D%0A100%0D%0A.%0D%0ASolve the equation 10 superscript x baseline equals 100 .%0D%0A%0D%0ACancel out the exponential base 10 and the logarithm.
Answers
GPT-4o mini
To prove that \( 10 \cdot \log_{10}(100) = 100 \), the first step would be to determine what \( \log_{10}(100) \) is equal to.
The logarithmic equation \( \log_{10}(100) \) represents the exponent to which 10 must be raised to obtain 100. Since \( 100 = 10^2 \), we find that \( \log_{10}(100) = 2 \).
Thus, the first step is:
**Determine what \( \log_{10}(100) \) is equal to.**
The logarithmic equation \( \log_{10}(100) \) represents the exponent to which 10 must be raised to obtain 100. Since \( 100 = 10^2 \), we find that \( \log_{10}(100) = 2 \).
Thus, the first step is:
**Determine what \( \log_{10}(100) \) is equal to.**