teflonsr teflonsr
  • 01-06-2017
  • Mathematics
contestada

Solve the equation using propertis of logarithms and exponents.

9^6x=3^2x+4

Respuesta :

irspow
irspow irspow
  • 01-06-2017
9^(6x)=3^(2x+4)  I assume this is what you meant...

since 9=3^2

3^2^(6x)=3^(2x+4)

and since (a^b)^c=a^(bc)

3^(12x)=3^(2x+4)

so if a^b=a^c then b=c so

12x=2x+4

10x=4

x=0.4
Answer Link

Otras preguntas

Find the distance between two parallel lines: x = 11 and x = 5.
An unbalanced force of 25 N, E, is applied to a 12-kg mass. What is the acceleration given to the mass?
Lauren bought 20 ounces of sliced ham. she used 3/4 of the ham to make sandwiches for her friends and 1/5 of the ham in an omelet. how many ounces of ham were l
which accurately describes a tangent
What is/was the American dream? I need at least 10 bullet points about what the American dream was please somebody help me
13/20-3/10 estimate: closer to 1 or 0?
An unbalanced force of 25 N, E, is applied to a 12-kg mass. What is the acceleration given to the mass?
Indicate which pattern of evolution is shown by the many species of finches on the Galápagos Islands.
Can you explain 3x+4/5=7/10. Solve
Indicate which pattern of evolution is shown by the many species of finches on the Galápagos Islands.