Exponential equation

Find x, if 625 ^ x = 5

The equation is exponential because the unknown is in the exponential power of 625

Correct answer:

x =  0.25

Step-by-step explanation:

625x=5 625=54 (54)x=5 xln⁡(625)=ln⁡(5) x=ln⁡(5)/ln⁡(625)=0.25

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!



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 a quadratic equation?

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

Related math problems and questions:

  • Geometric progression
    exp In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217.
  • Percentage increase
    exp_growth2 What is the annual percentage increase in the city when the population has tripled in 20 years?
  • Unknown number 7
    graph-parabola Calculate unknown number whose 12th power when divided by the 9th power get a number 27 times greater than the unknown number. Determine the unknown number.
  • Geometric sequence
    cralici In the geometric sequence is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q.
  • Exp
    old_calculator If sqrt[7](202-122) = sqrt[n](256), then n is:
  • Decibel
    tv By what percentage does the sound intensity increase if the sound intensity level increases by 1 dB?
  • Square
    percent Suppose the square's sides' length decreases by a 25% decrease in the content area of 28 cm2. Determine the side length of the original square.
  • Exponential equation
    exp Solve for x: (4^x):0,5=2/64.
  • Sequence
    seq Calculate what member of the sequence specified by (5n-2+15) has value 20.
  • Cuboid and ratio
    cuboid Find the dimensions of a cuboid having a volume of 810 cm3 if the lengths of its edges coming from the same vertex are in ratio 2: 3: 5
  • Demographics
    population The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase of population?
  • Find the
    eq222 Find the number x, which if it increases by 2, then its square increases by 21 percent.
  • If the 3
    sequence_geo If the 6th term of a GP is 4 and the 10th is 4/81, find common ratio r.
  • Calculation
    pocty How much is sum of square root of six and the square root of 225?
  • Completing square
    eq2 Solve the quadratic equation: m2=4m+20 using completing the square method
  • A number 5
    numbers A number is divisible by 24, 25, and 120 if it is increased by 20. Find the number.
  • Harmonic mean
    means_math If x, y, z form a harmonic progression, then y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5.