Question

14^(x+1)=36 (round to nearest ten thousandth)

Answer 1

take the log of both sides either base e or base 10

\[\ln(14^{x +1}) = \ln(36)\]

so apply the log law for powers... and you get

\[(x + 1)\ln(14) = \ln(36)\]

now solve for x

Answer 2

x is 0.36

Answer 3

looks good to me... well done