irfan9814385953
irfan9814385953 irfan9814385953
  • 01-05-2021
  • Mathematics
contestada

solve:

100^x=10^(2x+5)
​

Respuesta :

breadsticksandcheese
breadsticksandcheese breadsticksandcheese
  • 01-05-2021

Answer:

[tex]100^x=10^{2x+5}\\100 = 10^2[/tex]

simplifies to

[tex]10^{2x}=10^{2x+5}\\2x = 2x+5\\0=5[/tex]

no solution

Answer Link
sl33pylink
sl33pylink sl33pylink
  • 01-05-2021
1. Remove parentheses.
100^x = 10^2x+5

2. Convert both sides to the same base.
10^2x = 10^2x + 5

3. Cancel the base of 10 on both sides.
2x = 2x + 5

4. Cancel 2x on both sides.
0 = 5

5. Since 0 does not equal 5, the is no solution.

Answer: No solution
Answer Link

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