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

what other areas beside egypt did the new kingdom pharoahs conquer
what other areas beside egypt did the new kingdom pharoahs conquer
what other areas beside egypt did the new kingdom pharoahs conquer
write words to match the expression. 24- ( 6+3)
Which two numbers have a difference of 5 and a product of 3.36???
If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
write words to match the expression. 24- ( 6+3)
write words to match the expression. 24- ( 6+3)
what other areas beside egypt did the new kingdom pharoahs conquer
Which two numbers have a difference of 5 and a product of 3.36???