Algebraic Reasoning Semester 1 Review

Front

What is the exponential form of log₂(¹/₈) = -3?

Back

2^-3 = ¹/₈

Front

How do you find the inverse of the function f(x) = 3x - 5?

Back

f^-1(x) = (x + 5)/3

Front

Write the exponential equation that represents the table: y = 80 * (1/4)^x.

Back

y = 80 * (1/4)^x

Front

What is the exponential form of log₂ 32 = 5?

Back

2⁵ = 32

Front

What algebraic equation shows the relationship between the independent and dependent variables?

Back

y = -3x

Front

Define logarithm in terms of exponents.

Back

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

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value.

Front

What is the relationship between exponential and logarithmic functions?

Back

Exponential functions can be converted to logarithmic form and vice versa.

Front

What is the general form of an exponential function?

Back

y = ab^x, where a is a constant and b is the base.

Front

How do you express a logarithm in exponential form?

Back

If log_b(a) = c, then b^c = a.