Answer:
x = -59/66
Explanation:
Solve for x over the real numbers:
log(7) - log(x + 1) = log(66)
Subtract log(7) from both sides:
-log(x + 1) = log(66) - log(7)
Multiply both sides by -1:
log(x + 1) = log(7) - log(66)
log(7) - log(66) = log(7) + log(1/66) = log(7) + log(1/66) = log(7/66) = log(7/66):
log(x + 1) = log(7/66)
Cancel logarithms by taking exp of both sides:
x + 1 = 7/66
Subtract 1 from both sides:
Answer: x = -59/66