paula200516
paula200516 paula200516
  • 12-09-2021
  • Mathematics
contestada

What's the answer for this questionew with clear and explained working?

Whats the answer for this questionew with clear and explained working class=

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 12-09-2021

Answer:

x = 5

Step-by-step explanation:

the whole equation is

2log(x) - 3log(2) + log(32) = 2

converting the first 2 expressions by using standard logarithm laws

2log(x) = log(x²)

3log(2) = log(2³) = log(8)

the combining these converted expressions again by using standard logarithm laws

log(x²) - log(8) = log(x²/8)

log(x²/8) + log(32) = log(32×x²/8) = log(4x²)

log(4x²) = 2

now dissolving the logarithm by converting every side to the power of 10.

4x² = 10² = 100

x² = 25

x = 5

Answer Link

Otras preguntas

Trisha has a bag with 32 dimes and nickels worth $2.80. How many of each coin does she have?
Canada has around one thousand lakest or f
Select all the correct answers. Which two sentences use the word evinced correctly? A She evinced an interest in drama, so I took her to see the play. B
What is the range of the given function?
Complete the sentence below. Ellos ____ artisticos which word best fits the blank A- estan B- son
Name 2 conditions on the middle passage
Calculate the volume mL A cube that is 2.20 cm on
Fill in the blank with the correct verb to make sure the sentences are consistent. Small towns _____ up around the railroad lines, but more towns ____ as th
“ Fill in the blank to make the solution correct 5.6 times ? = -19.04
Find the exact volume of a sphere with a radius of 2 inches