Answer:
The interval from -12 to -7
The interval from 6 to 12.
Explanation:
The equation is log(x + 9) + log(x 9) = log[(x + 9)(x 9)]. = log(x² − 81)
Here is the equation:
log(x² - 81) = 0.47712
This can be expressed in exponential form:
x² - 81 = 10^(0.47712)
x² = 81 + 3.02343
x² = 84.02343
x ≈ ± 9.1658
The answers are therefore x -9.1658 and x 9.1658.
These intervals are where these solutions occur:
The answer, x -9.1658, can be found in the range from -12 to -7.
- The answer x = 9.1658 is found in the range of 6 to 12.
The appropriate choices are:
- The range between -7 and -12; - The range between 6 and 12.