Intercept with axis

F(x)=log(x+4)-2, what is the x intercept

Correct result:

x =  96

Solution:

F(x)=log⁡(x+4)−2 F(x)=0 log⁡(x+4)−2=0 log⁡(x+4)=2 x+4=102 x=102−4=96F(x)=\log(x+4)-2 \ \\ F(x)=0 \ \\ \log(x+4)-2=0 \ \\ \log(x+4)=2 \ \\ x+4=10^2 \ \\ x=10^2 - 4=96

Try another example


We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 1 comment:
#
Dr Math
Assuming "log" is the decadic logarithm (log with base 10)

avatar









Tips to related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  • Log
    exp_log Calculate value of expression log |3 +7i +5i2| .
  • Sum-log
    complex_log The sum of two numbers is 32, the sum of their logarithms (base 10) is 2.2. Determine these numbers.
  • Log
    log if ?, what is b?
  • Logarithmic equation
    nat_log_ln Solve equation: log33(3x + 21) = 0
  • Log
    5962705_ad Worker cut his thick log to 6 pieces for 30 min. How long he cut log to 12 pieces?
  • Timber log
    water3 The ship goes from point x to y. Downstream it takes 4 hours, upstream 6 hours. How long does it take from a point x to y a log?
  • Equation of circle 2
    circle_axes Find the equation of a circle which touches the axis of y at a distance 4 from the origin and cuts off an intercept of length 6 on the axis x.
  • Quiz or test
    test_2 I have a quiz with 20 questions. Each question has 4 multiple choice answers, A, B, C, D. THERE IS NO WAY TO KNOW THE CORRECT ANSWER OF ANY GIVEN QUESTION, but the answers are static, in that if the "correct" answer to #1 = C, then it will always be equal
  • Annual interest
    bank2 A loan of 10 000 euro is to be repaid in annual payments over 10 years. Assuming a fixed 10% annual interest rate compounded annually, calculate: (a) the amount of each annual repayment (b) the total interest paid.
  • Logarithm
    log_hat Determine the number whose decimal logarithm is -3.8.
  • Demographics
    population The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase of population?
  • Seating rules
    school_class In a class are 24 seats but in 7.B class are only 18 students. How many ways can student seat? (The class has 12 benches. A bench is for a pair of students.) Result (large number) logarithm and thus write down as powers of 10.
  • Function 3
    parabola2 Function f(x)=a(x-r)(x-s) the graph of the function has x- intercept at (-4, 0) and (2, 0) and passes through the point (-2,-8). Find constant a, r, s.
  • Microorganisms
    microorganisms The first generation of micro-organisms has a population of 13500 members. Each next generation is 11/10 times the previous one. Find out how many generations will reach at least three times members of the first generation.
  • Exponential equation
    exp In the set R solve the equation: ?
  • The parabolic segment
    ParabolicVolume The parabolic segment has a base a = 4 cm and a height v = 6 cm. Calculate the volume of the body that results from the rotation of this segment a) around its base b) around its axis.
  • Exponential equation
    exp_8 Solve for x: (4^x):0,5=2/64.