Algebra 2 ! what are the x and y intercepts of the equation? round the answers to the nearest hundredth. y = log(12x + 7) - 3

Step-by-step explanation:

A graphing calculator can show you the intercepts.

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Or you can figure them out.

The y-intercept is where x=0, so is ...

  y = log(12·0 +7) -3 = log(7) -3 ≈ -2.1549 ≈ -2.15

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The x-intercept is where y = 0, so is ...

  0 = log(12x +7) -3

  3 = log(12x +7) . . . . . . add 3

  10^3 = 12x +7 . . . . . . . take the antilog

  993 = 12x . . . . . . . . . . subtract 7

  993/12 = x = 82.75 . . . divide by the coefficient of x

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step-by-step explanation:

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