JorielJ377425 JorielJ377425
  • 25-10-2022
  • Mathematics
contestada

Write expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.

Write expression as a single logarithm whose coefficient is 1 Where possible evaluate logarithmic expressions class=

Respuesta :

MelitaM539044 MelitaM539044
  • 25-10-2022

Solution

Note: Laws Of Logarithm To Use

[tex]\begin{gathered} (1).\text{ }log_a(M)-log_a(N)=log_a(\frac{M}{N}) \\ \\ (2).\text{ }log_a(b^n)=nlog_a(b) \end{gathered}[/tex]

From the question, we have

[tex]\begin{gathered} log_3(18)-log_3(2) \\ \\ log_3(\frac{18}{2}) \\ \\ log_3(9)\text{ } \\ \\ The\text{ above expression is single logarithm} \end{gathered}[/tex]

To evaluate, we have

[tex]\begin{gathered} log_3(9)=log_3(3^2) \\ \\ log_3(9)=2log_3(3) \\ \\ log_3(9)=2(1) \\ \\ log_3(9)=2 \end{gathered}[/tex]

The answer is

[tex]2[/tex]

Answer Link

Otras preguntas

Find the domain of each rational expression. f(x)=5x-7/4
show by a simple experiment that diffusion becomes faster when temperature is raised
A second baseman tosses the ball to a first baseman, who catches it a the same level from which it was thrown. The throw is made with an initial speed o 19.0 m/
what is a closed-ended question?
what is a closed-ended question?
A second baseman tosses the ball to a first baseman, who catches it a the same level from which it was thrown. The throw is made with an initial speed o 19.0 m/
The sum of two numbers is 17 and their different is 5. Find two answers
the one to one functions G and H are defined as followG={(-8,1),(1,5),(4,-5)(8,-9)}H(x)=3x+4find the following g^-1(1)=h^-1(x)=(h^-1oh)(-2)=
what is a dangling modifier?
show by a simple experiment that diffusion becomes faster when temperature is raised