What does log_b(x) = y mean?

bʸ = x

What is ln(x)?

logₑ(x)

What is ln(1)?

0

What is ln(e)?

1

What is ln(eˣ)?

x

What is e^(ln(x))?

x

What is log_b(1)?

0

What is log_b(b)?

1

What is log_b(xy)?

log_b(x) + log_b(y)

What is log_b(x/y)?

log_b(x) − log_b(y)

What is log_b(xⁿ)?

n log_b(x)

What is the domain of ln(x)?

x > 0

What is the range of ln(x)?

All real numbers

What is the domain of eˣ?

All real numbers

What is the range of eˣ?

y > 0

What is the inverse of eˣ?

ln(x)

What is the inverse of ln(x)?

eˣ