hlemkie803 hlemkie803
  • 19-06-2018
  • Mathematics
contestada

Express 3^2 = x as a logarithmic equation.


log3x = 2

log32 = x

log23 = x

log2x = 3

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 19-06-2018
Taking the log of both sides of the equation, you have
[tex]2\log(3)=\log(x)[/tex]
Dividing by log(3), this looks like the change of base formula.
[tex]\log_a(b)=\dfrac{\log(b)}{\log(a)}[/tex]

That is, division by log(3) gives
[tex]2=\dfrac{\log(x)}{\log(3)}\\\\2=log_3(x)[/tex]

This apparently matches your first choice:
  log3(x) = 2
Answer Link

Otras preguntas

Ques:7 Mention the choondogy / Name of the Incidentů The Rowlatt netin Non-copperdhen movement1cing The Simon Commissim.[1930Gandhi - Towin pact211903وlin​
Answer the prelab questions below with reference to the attached class slides. 1. What is a mutation? (A. change of DNA / B. copy of DNA / C. passing of DNA / D
PLEASE ANSWER ASAP FOR BRIANLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Text: What is selective breeding? Long before scientists had technology to manipulate genes
Need help math testt
What atoms in water are attracted to Chlorine?
I need one more thing PLZZZZ​
Look at the ingredients to make honey biscuits. Work out how much of each ingredient is needed to make: a) 100 honey biscuits. b) 40 honey biscuits. Ingredients
HISTORICAL THINKING 1. What were the goals of the Proclamation of 1763 and the Quartering Act? 2. In what ways were the complaints of eastern and western coloni
Adice is thrown once. Find the probabilityof getting an even number .​
What is the TOTAL AREA?