3 years ago

In (x-7)= ln8-ln(x) Solve for “x”

Mathematics

1 answer:

Taya2010 [7]3 years ago

3 0

Answer:

x = 8.

Step-by-step explanation:

ln(x - 7) = ln8 - lnx Using the laws of logarithms:

ln(x - 7) = ln (8/x)

x - 7 = 8/x

x^2 - 7x = 8

x^2 - 7x - 8 = 0

(x - 8)(x + 1) = 0

x = -1, 8.

x must be 8 as there is no real value of the log of a negative.

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4 years ago

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