Solving Natural Logarithms

Front

Rewrite in exponential form: ln(6) = x

Back

e^x = 6

Front

Find the value for x to the third decimal place: ln x = 5

Back

x = 148.413

Front

Solve for x: e^(2x) = 11

Back

x = 1.2

Front

The natural logarithm, written as ln, has what base?

Back

e

Front

Solve for x: e^x = 132

Back

x = 4.9

Front

What is the definition of a natural logarithm?

Back

The natural logarithm is the logarithm to the base e, where e is approximately equal to 2.718.

Front

How do you convert from logarithmic form to exponential form?

Back

If ln(a) = b, then a = e^b.

Front

What is the value of e^0?

Back

e^0 = 1.

Front

If ln(a) = 0, what is the value of a?

Back

a = 1.

Front

What is the relationship between natural logarithms and exponential functions?

Back

Natural logarithms are the inverse of exponential functions.