Solving Logarithmic Functions

• 1, because @@7^1 = 1@@.

• 0, because @@7^0 = 1@@.

• -1, because @@7^{-1} = 1@@.

• 7, because @@7^1 = 7@@.

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

• @@rac{x}{y} = rac{ ext{log} x}{ ext{log} y}@@

• @@ ext{log}(x+y) = ext{log} x + ext{log} y@@

• @@ ext{log}igg(rac{x}{y}igg) = ext{log} x - ext{log} y@@

• @@ ext{log}(xy) = ext{log} x - ext{log} y@@

What is the definition of a logarithm?

• A logarithm is a mathematical function that describes the relationship between numbers.

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

• A logarithm is a type of equation used to solve for unknown variables.

• A logarithm is a method for calculating the area under a curve.

What is the power property of logarithms?

• @@rac{1}{p} imes rac{1}{ ext{log}_b(x)}@@

• @@ ext{log}_b(x) + ext{log}_b(p)@@

• @@ ext{log}_b(x^p) = p imes ext{log}_b(x)@@

• @@ ext{log}_b(x^p) = ext{log}_b(x) - p@@

• 1

• 2

• 3

• 4

• 1, because @@4^1 = 4@@

• 2, because @@4^2 = 16@@

• 3, because @@4^3 = 64@@

• 4, because @@4^0 = 1@@

What is the value of @@\log_2(8)@@?

• 1

• 2

• 3

• 4

• 0, because @@a^0 = 1@@

• 1, because @@a^1 = a@@

• a, because @@\log_a(a) = a@@

• Undefined, because @@\log_a(a)@@ is not defined.

How do you rewrite the exponential equation @@a^b = c@@ in logarithmic form?

• @@rac{c}{a} = b@@

• @@rac{b}{c} = a@@

• @@ ext{log}_a(c) = b@@

• @@a = ext{log}_b(c)@@

If @@\log_b(x) = y@@, what is the equivalent exponential form?

• @@b^y = x@@

• @@x = b^y@@

• @@y = b^x@@

• @@b = x^y@@