TeeganZ292073 TeeganZ292073
  • 03-11-2022
  • Mathematics
contestada

Which expressions are equivalent to the one below? Check all that apply.log3 3+ log3 27A. log3 81B. log3 (3^4)C. 4D. log 10

Respuesta :

WhitQ318396 WhitQ318396
  • 03-11-2022

The given expression is

[tex]log_33+log_327[/tex]

We will use the rule

[tex]log_ba+log_bc=log_b(ac)[/tex][tex]\begin{gathered} log_33+log_327=log_3(3\times27) \\ \\ log_3(3\times27)=log_3(81) \end{gathered}[/tex]

Since 81 = 3 x 3 x 3 x 3, then

[tex]\begin{gathered} 81=3^4 \\ log_3(81)=log_3(3^4) \end{gathered}[/tex]

We will use the rule

[tex]log_b(a^n)=nlog_b(a)[/tex][tex]undefined[/tex]

Answer Link

Otras preguntas

Hassan's backyard swimming pool is 30 feet long, 20 feet wide, and 5 feet deep. There are 7.5 gallons of water in 1 cubic foot. How many gallons of water will t
Find 4 consecutive even integers where the product of the two smaller numbers is 72 less than the product of the two larger numbers?
Guess the mystery number.The number is greater then 10 and less then 18. The number is the sum of two identical odd numbers. What is the number? Show how you fo
Which characteristic is shared by sonnets and haiku?
simplify (1/x) + (1/(x+h)
graph y=3sinx and y=sin 3x on the same axes. label the graph of each function.
Add these fractions (Lowest Terms) a) 1/6 + 1/6 b) 1/4 + 3/8 c) 2/3 + 5/6 d) 9/21 + 4/7 e) 1 3/5 + 1/10 f) 1 1/4 + 11/12 g) 1 2/3 + 2/3 h) 1 5/6 + 3 2/5
select the product of (3x-4)(3x4)
in a parallelogram one angle is 9 times the size of another. find the measures of the angles
Square of the complex number (i - 2)?