ruy9arpudWidf
ruy9arpudWidf ruy9arpudWidf
  • 07-04-2016
  • Mathematics
contestada

Can someone please help me solve for 81^x=3

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 07-04-2016
ok so remember if
a^x=a^y then x=y and

(x^m)^n=x^(mn)
try to make bases the same

81=9*9=3*3*3*3=3^4 so
81^x=(3^4)^x=3^(4x)

remember that 3=3^1

now we have
3^(4x)=3^(1)
therefor
4x=1
divide both sides by 4
x=1/4



x=1/4
Answer Link

Otras preguntas

Write two functions that together represent a circle.
(-3/4m)-(1/2)=2+(1/4,)
Summarize and show how you could use the Associative and Commutative properties to simplify the expression b × 3 + (2 + (-b)). Show all of your work.
Choose the true statement about Romantic music. Secular and sacred music were equal. Opera was unimportant. Orchestral music dominated instrumental music. Vocal
Which of the following would be the SI unit to use in measuring the temperature of a hot liquid?
One year, Super Bowl commercial time sold for $4.5 million for 30 seconds of air time. What was the price per second. Round to the nearest cent. If I take 4,500
Which equation represents a direct proportion? a. y=x+1 b.6y=12x c.6y+4=x d. y=2x-2
What is the best statement of the theme of “How Much Land Does a Man Need?” by Leo Tolstoy? a. You win some you lose some b. Becoming greedy, and reaching for t
In dna fingerprinting, the dna probe that is used is ____________________ to the dna sequence of the repeats
Mr. John travels a distance given by vector of 5.5. miles. Vector lies in the second quadrant and forms an angle of with the y-axis. The components, Ax and Ay