Test Prep

Front

What is the value of log₉ 27?

Back

3/2

Front

Given u = <3, 7> and v =<-5, 4>, what is 2v - 3u?

Back

<-19, -13>

Front

If c = <-5, 4> and d = <8, 0>, what is 2c + d?

Back

<-2, 8>

Front

What is the product of 25 and 25?

Back

625

Front

Evaluate log₆(¹/₂₁₆).

Back

-3

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

What is the formula for vector addition?

Back

If u = <a, b> and v = <c, d>, then u + v = <a+c, b+d>.

Front

What is the formula for scalar multiplication of a vector?

Back

If u = <a, b> and k is a scalar, then ku = <ka, kb>.

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

What is the relationship between logarithms and exponents?

Back

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