Question

Solve the logarithmic equation (show all work) (Do NOT use a calculator)
1. Log6x = 1 – log6(x-5)
2. 2x^2 – 9x = 1/256
3. 9x-1 = 100(3x)
4. 2lnx – ln5 = ln(x + 10)
5. ex – 2 = -e –x
6. 2log50 = 3log25 + log(x-2)

Answer 1

Here are some of the rules for ln's (natural logarithms)(or logs in general).
log(xy) = log x + log y
log(x/y) = logx - log y
log x^p = p log x