Foundation of Math 3

Front

What is the value of x given: 7e^(3x-5) = 49?

Back

x = 2.315

Front

Write the inequality in interval notation for the graph that shows values less than -2 and greater than 5.

Back

(-∞,-2)⋃(5,∞)

Front

Rewrite log_p(t) = m in exponential form.

Back

p^m = t

Front

Rewrite e^x = 9 using a logarithm.

Back

ln 9 = x

Front

Solve for x: 3x + 6 = 30.

Back

x = 8

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

Convert the exponential equation 2^x = 16 to logarithmic form.

Back

log_2(16) = x

Front

What is the base of the natural logarithm?

Back

The base of the natural logarithm is e (approximately 2.718).

Front

If log_b(a) = c, what is the equivalent exponential form?

Back

b^c = a

Front

What is the solution to the equation e^(2x) = 7?

Back

x = (1/2)ln(7)