hishamdubas hishamdubas
  • 17-04-2019
  • Mathematics
contestada

Simplify the expression. #22

Simplify the expression 22 class=

Respuesta :

JDcap
JDcap JDcap
  • 17-04-2019

Answer:

[tex]10^{\log 9}=9[/tex]

Step-by-step explanation:

It's a logarithm property:

[tex]x^{\log_x{a}}=a[/tex]

However, we can use a procedure like this:

[tex]10^{\log 9}\\\Rightarrow y=10^{\log 9}\;\;\;\;\;\;\;\;\;\text{Apply }\log\text{  to both sides}\\\log{y}=\log{10^{\log 9}}\;\;\;\;\;\;\;\;\;\text{Apply log property}\\\log{y}=\log 9\cdot\log{10}\;\;\;\;\;\;\;\;\;\text{Apply log property}\\\log{y}=\log 9\cdot1\\\log{y}=\log 9\\\\\Longrightarrow\boxed{y=9}[/tex]

Answer Link

Otras preguntas

Let f(x) = 2x - 6. Solve f-1(x) when x = 2.
The sum of two numbers is 30. The sum of the greater number and three times the lesser number is 54. Find the numbers.
Why are animal unable to perform photosynthesis
which is bigger 0.3 or 1/3
explain how fossils and other materials can tell us about the conditions of an area at the time it existed.
Which is the first step in the formation of a hotspot volcano
Which group had been living in North America for thousands of years when other groups arrived? African Americans Asian Americans Native Americans Hispanic Amer
The country as "independent" on the 1783 map is what country
Which answers are examples of inductive reasoning? Choose all answers that are correct. (Points : 1) Peaches cost $0.95/lb at the local store. Sue is g
Well into the 20th century, many scientist's believed that the ocean floor was A.flat B.rocky C.round D.sandy