Property of Logs

Which is equivalent to log(24)? Select all that apply.

• log(8)+log(3)

• log(6)+log(4)

• log(12)+log(2)

• 3log(2) + log(3)

• log(2) + 2log(3)

Which one is equivalent to the number log(40)?

• 3log(2)+log(5)

• 2log(2) + log(5)

• 2log(2) - log(5)

• log(2)+2log(5)

• log(2) + 3log(5)

In advanced sciences, you are often asked to get the answer of an equation and then take the log of the answer. Do this task to the following equation: 4x + 8 = 208. Which of the following is the answer when all the directions are followed?

• 50

• log(25)-log(2)

• log(10) + 2log(2)

• 2log(5) + log(2)

• log(5) + 2log(2)

F(x, y) = x¹⁵/y³. Which of the following is equivalent to log(F(x, y))?

• log(15) + log(3)

• 15log((x) - 3log(y)

• 5log(x)+3log(x)-3log(y)

• 15log(x) + 3log(y)

• 5log(x)+12log(y)

F(x, y) = x²y^-2(x^-3y⁴)². Which of the following is equivalent to log(F(x, y))?

• 6log(y)-4log(x)

• 6log(y) + 4log(x)

• log(x) +4log(y)

• 4log(x) + log(y)

• a correct answer is not shown

Convert the logarithm found in 1a to it's exponential form.

• 3⁴=81

• 4³=81

• 81³=4

• 3*4 = 81

• 81/4 = 3

Tags

CCSS.HSF.BF.B.5

Convert log_x(18x)=2 to exponential form.

• x²=18x

• 2x=18x

• 2^x=18

• 2^x=18x

• x=18²

Tags

CCSS.HSF.BF.B.5

Convert log_x+1(x-1)=2 to exponential form.

• (x+1)²=x-1

• (x+1)^x-1=2

• 2^x+1=x-1

• 2^x-1=x+1

• (x+1)(x-1) = 2

Tags

CCSS.HSF.BF.B.5

First condense the equation to be single logarithm. Which of the following is an equivalent equation in exponential form? log₂(5)+log₂(x)=3

• 8=5x

• 6=5x

• 3=5x

• 2=5x

• a correct answer is not shown

Tags

CCSS.HSF.BF.B.5

Simplify f(x) completely. Which of the following is equivalent to log(f(x))? f(x) = (x²+11x+10)/(x²+3x+2)

• log(x+10)-log(x-2)

• log(x+1)-log(x+2)

• log(x+10)-log(x+2)

• log(x+10)+log(x+2)

• log(x+10)+log(x-2)