Question

The exponential functions are y=7^x, y=3^x, y=10^x, y=e^x. The inverse logarithmic functions are y=log x, y=log7 x, y=In x, y=log3 x. Match the exponential functions to its inverse logarithmic functions.

Answer 1

Match each exponential f(x)=a^x with its inverse f⁻¹(x)=log_a x:

- y = 7^x ↔ y = log_7 x
- y = 3^x ↔ y = log_3 x
- y = 10^x ↔ y = log x (common log, base 10)
- y = e^x ↔ y = ln x (natural log, base e)