Solve the equation algebraically using logarithms. Round to the nearest hundredth 7^(3x+9)=12

Madilyn Quinn 2022-10-20 Answered
Solve the equation algebraically using logarithms. Round to the nearest hundredth
7 3 x + 9 = 12
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

bigfreakystargl
Answered 2022-10-21 Author has 23 answers
Any exponential function can be represented in logarithmic form, as logarithmic functions are the inverses of exponential functions. In the same way, all logarithmic functions can be represented as exponential functions.
Given equation is
7 3 x + 9 = 12
Taking log on both sides,
log ( 7 3 x + 9 ) = log ( 12 ) ( 3 x + 9 ) log 7 = log 12 ( 3 x + 9 ) = log 12 log 7 3 x + 9 = 1.277 3 x = 1.227 9 x = 7.773 3 = 2.591 2.59
The required solution is x = 2.59
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

New questions