02-06-2015
Mathematics

contestada

solve for x: log6(x+29) - log6(x-6) = 2

Respuesta :

darth666 darth666

02-06-2015

[tex]log_6(x+29)-log_6(x-6)=2[/tex]
[tex]log_6{6^2}=2[/tex]
[tex]log_6(x+29)-log_6(x-6)=log_6{6^2}=log_6{36}[/tex]
[tex]log_6(x+29)-log_6(x-6)=\frac{log_6(x+29)}{log_6(x-6)}=log_6{36}[/tex]
[tex]\frac{x+29}{x-6}=36[/tex]
[tex]x+29=36(x-6)[/tex]
[tex]x+29=36x-216[/tex]
[tex]35x=245[/tex]
[tex]x=\frac{245}{35}=7[/tex]
[tex]log_6{36}-log_6{1}=2[/tex]

Answer Link

Otras preguntas

"The price (P) of designer jeans is affected by the supply (S) and the demand (D). A. Demand for more pairs of jeans causes reduced supply and increased price.

"Octagon ABCDEFGH and its dilation, octagon A’B’C’D’E’F’G’H’, are shown on the coordinate plane below. If the center of dilation is at the origin, by what scale

“Just one bacterium, dividing every 20 min., could produce nearly 5,000 billion billion bacteria in one day. That is 5,000,000,000,000,000,000,000 bacteria." Th

A very old vending machine accepts only nickels (n) and dimes (d). Candy costs up to $0.50, but sometimes the machine will dispense candy without any coins bei

What was the cause of the Great Schism of 1054 between the Eastern and Western Church?

Who ruled over Mexico for 35 years before the Mexican Revolution? A. Francisco Madero B. Antonio López de Santa Anna C. General Porfirio Díaz D. Benito Juár

"Quadrilateral ABCD underwent a sequence of transformations to give quadrilateral A′B′C′D′. Which transformations could have taken place? a reflection across t

Can some one plz help me with this? I really need help 2. Describe how to use two coins to simulate which two pets the family has. 6. How could you change the s

are there non-invasive procedures that are considered treatment instead of only diagnostic in nature

The isosceles triangle theorem says \"if two sides of a triangle are congruent, then the angles opposite those sides are congruent\". . . If you are using this