Question

please check my answers.

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.

ln sqrt x+6 = 9 i got {e^9-6}

log (x + 4) = log (5x - 5)
i got: 9/4

log (x + 30) - log 2 = log (3x + 2)
i got: {58}

Answer 1

Please limit yourself to one question per post, and show your work

log (x + 4) = log (5x - 5)

As long as the bases of both logs are the same,

x + 4 = 5x - 5
4x = 9
x = 9/4
=======================
log (x + 30) - log 2 = log (3x + 2)
(x+30)/2 = (3x+2)
x + 30 = 6x + 4
5x = 26
x = 5.2

Answer 2

true or false, all rational numbers are integers. Explain