LOGS Review for Unit Test

Front

Change to Exponential Form: log_6 36 = 2

Back

6^2 = 36

Front

What is the value of x if log_6 x + log_6 (x - 5) = 2?

Back

x = 9

Front

Solve: -2 e^{(3x - 1)} + 7 = 3 (round to 3 decimal places)

Back

x = 0.564

Front

How long will it take to triple your investment if it makes 5.5% interest compounded continuously? (Round to nearest tenth)

Back

Approximately 20.0 years

Front

Solve for n: 2^{3n} = 4

Back

n = 2/3

Front

Definition: Logarithm

Back

The logarithm is the inverse operation to exponentiation, answering the question: to what exponent must a base be raised to produce a given number.

Front

Change to Logarithmic Form: 5^3 = 125

Back

log_5 125 = 3

Front

What is the base of the logarithm in log_b a = c?

Back

The base b is the number that is raised to the power c to obtain a.

Front

Definition: Natural Logarithm

Back

The natural logarithm, denoted as ln(x), is the logarithm to the base e, where e is approximately equal to 2.718.

Front

Solve for x: log_10 x = 2

Back

x = 100