Solving Base E and Natural Logarithms

Front

Simplify e^ln(x)

Back

x

Front

Solve the following equation for x: ln(3x) + ln(2x) = 3. Round your solution to two decimal places.

Back

x = 1.83

Front

Expand ln(xy^2z^3)

Back

ln(x) + 2ln(y) + 3ln(z)

Front

Log with a base 'e' (log_e) is the same thing as...

Back

Natural Logarithm (LN)

Front

Solve for x: 5 e^(6x+3) = 0.1

Back

x = -1.152

Front

What is the value of ln(e^5)?

Back

5

Front

If ln(a) = 2, what is the value of a?

Back

a = e^2

Front

What is the derivative of ln(x)?

Back

1/x

Front

Solve for x: e^(2x) = 7

Back

x = (1/2)ln(7)

Front

What is the property of logarithms: log(a*b)?

Back

log(a) + log(b)