jwescantrell
jwescantrell jwescantrell
  • 08-12-2020
  • Mathematics
contestada

What is the value of x that satisfies the equation?

27^(3x)=81^(x+10)

Respuesta :

xmanj29
xmanj29 xmanj29
  • 15-12-2020

Answer:

x=7.999996

Step-by-step explanation:

273x=81x+10

log(273x)=log(81x+10)(Take log of both sides)

3x*(log(27))=(x+10)*(log(81))

3x=(

log(81)

log(27)

)*(x+10)

3x=1.333333*(x+10)

3x=1.333333x+13.33333(Simplify both sides of the equation)

3x−1.333333x=1.333333x+13.33333−1.333333x(Subtract 1.333333x from both sides)

1.666667x=13.33333

1.666667x

1.666667

=

13.33333

1.666667

(Divide both sides by 1.666667)

Answer Link

Otras preguntas

If it takes 5 hours to do 2/3 of a job, how long will it take to complete a job?
this mean the government should keep their hands off or out of economic issues
Using f(X)=x+2 and g(x)=10x-4 , what is f(2) + g(4) ?
Complete with the correct verb ending
A subatomic particle with a positive charge
Which would not form an organic fuel? bones shale plant roots trees
What can you compare to 40 newtons of force??
what is the balanced net ionic equation for the reaction in acidic solution of fe2+ and kmno4 (fe2+ becomes ff3+ and MnO4 becomes Mn2+)
You buy a television which cost %550 and pay a 5% sales tax. What is the tax
What is the solution to the equation x + 8.5 = 40.5? A . x = 4.8 B . x = 6.2 C. x = 30 D. x = 32