Flashcard - Writing & Solving Exponential & Logarithmic Functions

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3 81 = 4

Front

Solve: log_2(x+3)=5

Back

x=29

Front

What would you do first to solve 2(7^x)=686?

Back

Divide both sides by 2

Front

Solve for x using the Method of Common Bases: 5^{-3x-1}=25

Back

x = -1

Front

Rewrite log_2 8 = 3 in exponential form.

Back

2^3 = 8

Front

Define an exponential function.

Back

A function of the form f(x) = a * b^x, where a is a constant, b > 0, and b ≠ 1.

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 given value.

Front

Convert log_10 1000 to exponential form.

Back

10^3 = 1000

Front

What is the inverse of an exponential function?

Back

The inverse of an exponential function is a logarithmic function.

Front

Solve for x: 3^x = 27.

Back

x = 3