Question: Express the equation in logarithmic form. \[ 10^k = 67 \] Answer - \(\log_{10} 67 = k\) -…

Express the equation in logarithmic form.

\[ 10^k = 67 \]

Answer

• \(\log_{10} 67 = k\)
• \(\log_{k} 67 = 10\)
• \(\log_{10} k = 67\)
• \(\log_{67} 10 = k\)

Solution

To express the equation \(10^k = 67\) in logarithmic form, use the definition of logarithms: The equation \(a^b = c\) can be written in logarithmic form as \(\log_a c = b\). Applying this to \(10^k = 67\): \[ \log_{10} 67 = k \] So the correct answer is \(\log_{10} 67 = k\).