Solve Natural Log Equations

Front

What is the natural logarithm of a number?

Back

The natural logarithm (ln) is the logarithm to the base e, where e is approximately equal to 2.71828. It is the inverse function of the exponential function.

Front

Solve for x: ln(5x + 6) = 5

Back

x = 28.483

Front

In an exponential function, what does the 'a' represent?

Back

Y-INTERCEPT

Front

Evaluate log_4(1) without a calculator.

Back

0

Front

What is the base of the expression ln x = y?

Back

e

Front

Solve for x: 7e^(3x-5) = 49

Back

x = 2.315

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation. If b^y = x, then log_b(x) = y.

Front

What is the value of ln(1)?

Back

0

Front

If ln(a) = b, what is the equivalent exponential form?

Back

a = e^b

Front

What is the derivative of ln(x)?

Back

1/x for x > 0.