Spiral #12 (Algebra 2)

Front

Solve for x: 5^{-3x - 1} = 25

Back

x = -1

Front

Condense into a single logarithm: log_a(b) + log_a(c)

Back

log_a(bc)

Front

Rewrite log_2(8) = 3 in exponential form

Back

2^3 = 8

Front

Solve the equation: 2x + 3 = 7

Back

x = 2

Front

Expand using the properties of Logarithms: log(x^3/y^4z)

Back

3log(x) - 4log(y) - log(z)

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

If log_b(x) = y, what is the equivalent exponential form?

Back

b^y = x

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any base k.

Front

Solve for x: 3^{2x} = 81

Back

x = 2

Front

What is the product property of logarithms?

Back

log_b(mn) = log_b(m) + log_b(n) for any positive m and n.