Solving Equations using Properties of Logarithms

What is the solution to log2 (9x)-log2 3=3

x=8/3

Which statement is true for log3 (x+1)=2

x+1=3^2

What is the solution to log2 (2x^3-8)-2log2 x=log2 x

x=2

Which of the following shows the extraneous solution to the logarithmic equation? log4 (x)+log4 (x-3)=log4 (-7x+21)

x=3 and x=-7

Which of the following shows the true solution to the logarithmic equation below? log(x)+log(x+5)=log(6x+12)

x=4

Maria wrote the equation log(x/2)+log(20/x^2)=log8 What is the solution to Maria's equation?

x=5/4

Which of the following is true regarding the solutions to the logarithmic equation below?

x=6 is a true solution and x=-6 is an extraneous solution

What is the solution to log5 (10x-1)=log5 (9x+7)

x=8

Which of the following illustrates the product rule for logarithmic equations?

D

Which logarithmic equation has the same solution as x-4=2^3

Log2 (x-4)=3