mekhigoree33
mekhigoree33 mekhigoree33
  • 18-05-2021
  • Mathematics
contestada

I need help!!

Use the properties of logarithms to simplify.

log base5 5^(2x − 9) + log base3 729^5

Respuesta :

aryanbalda4
aryanbalda4 aryanbalda4
  • 18-05-2021

Answer:

1/2log base 3 of x + log base 3 of x =6

As the multiplication law of logarithms states that when it's addition you multiply and vice versa:log base c of xy=log base c of x + log base c of y

log base 3 of ( x1/2×x)=6

36=729

x1/2×x=729 since it's multiplication you add the powers so 1/2 +1 =3/2

x3/2=729

So square 729. 7292=531441. Now take a cube root. Cube root of 531441 is 81

X=81

Answer Link

Otras preguntas

Pls I need help ASAP on this question
Sam takes 2 pages of notes during each hour of class. After attending 16 hours of class, how many tbtal pages of notes will Sam have in his notebook?
change fraction to decimal 4/9​
Which of these goals of the United States government is reflected in the President's announcement? A. NO B. ensuring domestic tranquility C. promoting the gener
11. In a parking garage there is a 6:5 ratio of blue cars to red cars. If there are 275 cars in the garage, how many red cars are in the garage?
Given f(x)=3x^3+2x+k and x+1 is a factor of f(x) then what is the value of k
Need this answered ASAP
i need to know the united states of america
HELPPP PLSSS Statistically, which type of family has the highest rate of poverty in the United States? (A) Hispanic families headed by a married couple (B) Sing
3.An electron is moving with a velocity v and enters uniform electric field perpendicularly.Its trajectory within the field will be​