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

Solve 7 - 5(2 - x) = -(x - 8)
At a camp, the campers need more than 15 gallons of fresh water everyday. They already jave a gallon of fresh water, and they can collect the additional water b
2,500 principal earning 4% compounded quarterly after 4 years
Most queries have fully meets results
the cure for polio is a(n) ________science. basic applied
Find the quotient -10d 4 e 3 f 5 ÷ 15d 2 e 2 f
what are the possible values of x if (4x – 5)2 = 49? check all that apply. -4/5 -1/2 3 5 7
what is the value of x in the equation 3x – 4y = 65, when y = 4? x = 23 x = 27 x=13 1/4 x=21 2/3
select the antecedent of the pronoun in the following sentence. The strikers will return to work when the union representative have completed THEIR negotiations
A scientist is going to perform and experiment to see how a new antibiotic affects a strain of bacteria. Which of the following peices of equiment would be most