Test logs and Pythagorean Theorem 4th block MM

Front

What is the logarithmic identity for the quotient of two numbers?

Back

Front

Rewrite the logarithmic equation log₅25 = 2 in exponential form.

Back

5² = 25.

Front

What is the Pythagorean Theorem?

Back

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Front

Rewrite the exponential equation 2⁵ = 32 in logarithmic form.

Back

log₂32 = 5.

Front

What is the formula to find the length of the hypotenuse in a right triangle?

Back

Front

If one side of a right triangle is 5 and the other side is 12, what is the length of the hypotenuse?

Back

13.

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 number.

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

Front

What is the value of log₁₀100?

Back

2, because 10² = 100.