buchaell000 buchaell000
  • 21-05-2019
  • Mathematics
contestada

For what value of x does 3^4x=27^x-3? a. –9 b. –3 c. 3 d. 9

Respuesta :

jdoe0001 jdoe0001
  • 21-05-2019

[tex]\bf 3^{4x}=27^{x-3}\implies 3^{4x}=(3^3)^{x-3}\stackrel{~\hfill \textit{same base, the exponents must also be the same}}{\implies 3^{4x}=3^{3(x-3)}\implies 3^{4x}=3^{3x-9}\qquad } \\\\\\ 4x=3x-9\implies x=-9[/tex]

Answer Link

Otras preguntas

What biosafety levels do most introductory microbiology students work with.
Х According to a Nielsen survey, radio reaches 88% of children each week. Suppose we took weekly random samples of n = 125 children from this population and com
Assuming that the ship travels at a constant speed how far will the ship travel in 3.5 hours
Which primary motivation for exploration in the Americas did the English, Dutch, and French share? A. developing new navigation tools B. spreading Protestan
Find the coordinates of the circumcenter of the triangle. D(0,0), E(6,0), F(0,4)
A movie rental website recorded a random sample of the types of movies customers checked out on a typical Friday. There were 405 respondents. The results are di
pls answer it pls thanks
9. Nydia Soto's total cost to rent a car was $400. The number of miles she drove was 1,000. What was the cost per mile to rent the vehicle?
a circle has a circumference of 77cm. calculate the radius of the circle.(take TT =22/7)​
A student had an assignment to describe the cell theory to the class. The student made a poster about the cell theory as it relates to all organisms. However, o