Exponents and Logarithms

Front

What does the 'a' in y=a(1+r)^x represent?

Back

Initial Amount

Front

How do you properly read log_10 100=2?

Back

log base 10 of 100 is equal to 2

Front

Rewrite log_2 8 = 3 in exponential form.

Back

2^3 = 8

Front

If you deposit $3000 in a savings account that pays interest at an annual rate of 4%, how much will be in the account after 10 years?

Back

$4440.73

Front

Identify the value of the exponent in 8^3=512.

Back

3

Front

What is the definition of an exponent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself.

Front

Convert the exponential expression 5^2 into a logarithmic expression.

Back

log_5 25 = 2

Front

What is the product rule of exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the quotient rule of exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).