Math, asked by pundirsuryansh43, 1 day ago

question number 7 , question sheet pic​

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Answered by sumaiyafarooq2245
0

hey there!!

Answer:

Down beloww

Step-by-step explanation:

  • (4 ²^x  +10 ) ÷ 2 = 37
  • Multiply both sides by 2
  • 4²^x + 10 = 37 × 2
  • Multiply 37 and 2 to get 74.
  • 4²^x + 10 = 74
  • Subtract 10 from both sides of the equation.
  • 4²^x = 64
  • Take the logarithm of both sides of the equation.
  • log (4²^x) = log (64)
  • The logarithm of a number raised to a power is the power times the logarithm of the number.
  • 2x log (4) = log (64)
  • Divide both sides by log(4).
  • 2x =  
  • 2x = log(4) (64)
  • Divide both sides by 2.
  • x =  
  • Divide it by 2 which equals to 1.5 and 1.5 is the answer.

hope it helps if so plz mark me as brainliest :)

Answered by raj2005surya
0

x=1.5

explain:4^2x+10=74

4^2x=64

4^3 =64

2x= 3

2×1.5=3

therefore x=1.5

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