anthonysmalljr anthonysmalljr
  • 13-05-2021
  • Mathematics
contestada

What are the solutions to log (x² + 8) = 1 +logo(x)?

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 18-05-2021

Answer:

x = 9.125 and 0.875

Step-by-step explanation:

Given the expression

log (x² + 8) = 1 +log(x)?

This can also be written as;

log (x² + 8) = log 10 +logo(x)

log (x² + 8) =  log(10x)

(x² + 8) =  (10x)

x² -10x + 8 = 0

Factorize;

x = 10±√(-10)²-4(8)/2

x = 10±√100-32/2

x = 10±√68/2

x = 10±8.25/2

x = 10+8.25/2 and 10-8.25/2

x = 18.25/2 and 1.75/2

x = 9.125 and 0.875

Answer Link

Otras preguntas

An Object moving 10 m/s undergoes acceleration for 6 seconds. If it moves 8 m to the left, find the acceleration
Sam has 1,300 dimes. Anna has 1/10 the number of dimes Sam has. How many dimes does Anna have?
Of these types of businesses, which one requires the most drive and motivation? a. A partnership b. A new business c. A franchise d. An existing business
round 1,129.872 to the nearest hundred
The _____ law of thermodynamics states that natural processes will go in a direction that increases the entropy of the universe. a. first c. third b. second
Walt grew 10 centimeters in 1 year. He is now 1.6 m tall. How tall was he 1 year ago?
How do you write twenty nine billion thirty two million in standard form?
What's the square root of 69
During class, the young boy seemed lost in a(n) ____________________. When the teacher called on him, he did not know the answer.
4:25 am What is the time that is 9 hours and 40 minutes before the time shown?