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Section 3.2
30 & 32
Question 30
Use the One-to-One Property for 30 and 32.
log_a (x) = log_a (y) = x = y.
log_2 (x - 3) = log_2 (9)
x - 3 = 9
x = 9 + 3
x = 12
Question 32
Note: log without a base means log_10.
log (x^2 + 6x) = log 27
x^2 + 6x = 27
x^2 + 6x - 27 = 0
(x + 9)(x - 3) = 0
x + 9 = 0
x = -9
x - 3 = 0
x = 3
You say?
30 & 32
Question 30
Use the One-to-One Property for 30 and 32.
log_a (x) = log_a (y) = x = y.
log_2 (x - 3) = log_2 (9)
x - 3 = 9
x = 9 + 3
x = 12
Question 32
Note: log without a base means log_10.
log (x^2 + 6x) = log 27
x^2 + 6x = 27
x^2 + 6x - 27 = 0
(x + 9)(x - 3) = 0
x + 9 = 0
x = -9
x - 3 = 0
x = 3
You say?