Solving Exponential Equations and Log Properties Mixed REVIEW

Front

What is an exponential equation?

Back

An equation in which a variable appears in the exponent, such as 2^x = 8.

Front

How do you solve an exponential equation?

Back

Isolate the exponential expression and then take the logarithm of both sides.

Front

What is the base of a logarithm?

Back

The number that is raised to a power to obtain a given value, e.g., in log_b(a), b is the base.

Front

What is the relationship between exponents and logarithms?

Back

If b^y = x, then log_b(x) = y.

Front

What is the product property of logarithms?

Back

log_b(MN) = log_b(M) + log_b(N).

Front

What is the quotient property of logarithms?

Back

log_b(M/N) = log_b(M) - log_b(N).

Front

What is the power property of logarithms?

Back

log_b(M^p) = p * log_b(M).

Front

How do you condense logarithmic expressions?

Back

Use the properties of logarithms to combine multiple logs into one.

Front

Solve for x: 8^(x+1) = 3

Back

x = -0.472.

Front

Solve for x: 4^x - 5 = 12

Back

x = 2.044.