Decibel

By what percentage does the sound intensity increase if the sound intensity level increases by 1 dB?

Correct answer:

p =  25.8925 %

Step-by-step explanation:

$$\begin{gathered} L=1\text{ dB } \\ {L}_2=L\mathrm{/}10=1\mathrm{/}10={\displaystyle \frac{1}{10}}=0.1\text{ B } \\ {L}_2=\log (q) \\ q=10^{L_2}=10^{0.1}\doteq 1.2589 \\ p=100\cdot (q-1)=100\cdot (1.2589-1)=25.8925\mathrm{\%} \end{gathered}$$

Try another example

Related math problems and questions:

• Percentage increase
  What is the annual percentage increase in the city when the population has tripled in 20 years?
• Demographics
  The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase of population?
• Exponential equation
  Find x, if 625 ^ x = 5 The equation is exponential because the unknown is in the exponential power of 625
• Electrics - conductor
  The wire is 106 meters long at 0 °C and at every temperature increase of 1 °C the length increases by 0.15 mm per 1 m length of wire. Determine a function which represents the overall length of the wire as a function of temperature. What is the length of
• Find the
  Find the number x, which if it increases by 2, then its square increases by 21 percent.
• Cube edges
  If the edge length of the cube increases by 50%, how does the volume of this cube increase?
• Exponential warm
  Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt) . If jello salad with 30 degree
• Volume of wood
  Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p?
• Vinegar
  What percentage vinegar we get if we mix 1 if dm³ eight percent vinegar with 1.5 dm³ six percent vinegar?
• Decibel
  A circuit has an input power of 58 mW. Its output power is 6 mW. What is the loss in decibels?
• Speed of sound
  The average speed of sound is 330 meters per second. Estimate how long it will take to hear the church bell 1 km away. Calculate the distance from what would hear sound after 10 seconds.
• Semiannually compound interest
  If you deposit $5000 into an account paying 8.25% annual interest compounded semiannually, how long until there is $9350 in the account?
• Square side
  If we enlarge the square side a = 5m, its area will increase by 10,25%. How many percent will the side of the square increase? How many percent will it increase the circumference of the square?
• Log
  if log₄ x+ log₈ x = log_b x, what is b?
• Annual growth
  The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%?
• Same force
  The trunk of 5m length and 95 kilograms has a center of gravity 2m from the thicker end. The tribe is carried by two men, one at the thicker end. At what distance does the trunk carry a man from the other end to make the same force on it?
• Profit growth
  The profit of a company increased by 25% during the year 1992, increased by 40% during the year 1993, decreased by 20% in 1994 and increased by 10% during the year 1995. Find the average growth in the profit level over the four years periods?