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REPOST! i havee been trying to answer these questions please help! i will give you nitro, i'm desperate
1. what is the exponential form of the following: ln(x+2)=10

2. express the following as a sum or difference in logarithms: 1. lnx/(x+3)^3 2. log_6 a^4b^3/c^2

3. what is the logarithmic form of the following equation: 5^y-2 = 125

Respuesta :

mhanifa

Answer:

See below

Step-by-step explanation:

1.........................................................

  • ln(x+2)=10
  • x + 2 = e¹⁰

2.........................................................

1)

  • ln x / (x + 3)³  =
  • ln x - ln (x + 3)³ =
  • ln x - 3ln(x + 3)

2)

  • log₆ a⁴b³/c²  =
  • log₆ a⁴ + log₆ b³ - log₆ c² =
  • 4log₆ a + 3log₆ b - 2log₆ c

3. .........................................................

note: replaced y with n

  • 5ⁿ⁻² = 125
  • 5ⁿ⁻² = 5³
  • log 5ⁿ⁻² = log 5³
  • (n - 2) log 5 = 3 log 5
  • n - 2 = 3
  • n = 5

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