Question

Help me with this problem

Answer 1

Answer:

x = -59/66

Step-by-step 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