Solve the following equations.
log(x) + log(x + 21) = 2

x = 4 , -25

Step-by-step explanation:

given,

log(x) + log(x + 21) = 2

using identity

log (ab) = log a + log b

log(x) + log(x + 21)  = log (x (x + 21))

log (x (x + 21)) = 2

now taking anti log  as base is ( 10)

x(x+ 21 ) = 10²

x² + 21 x - 100 = 0

x² + 25 x - 4 x - 100 = 0

x(x + 25) -4 (x + 25) = 0

(x-4)(x + 25) = 0

x = 4 , -25

hence, the solution is x = 4 , -25

b

2

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b

b

3

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7

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14

b

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6

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3

b

3

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7

b

2

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14

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6

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step-by-step explanation:

answer: $201

step-by-step explanation: to get the answer, you first get 3 nieces that he sold and multiply it by 67 and get $201, so he earned $201 selling his nieces.