Question

Solve logx + 5 36 = 2

Answer 1

is the equation

\[\log x + 536 = 2\]

Answer 2

my guess is it is
\[\large \log_{x+5}(36)=2\]

Answer 3

yes

Answer 4

write in equivalent exponential form as
\((x+5)^2=36\) and solve that one

Answer 5

raise each side as powers of (x +5)

then 36 = (x + 5) ^2

and then solve the quadratic

Answer 6

takes two steps
\[(x+5)^2=36\]
\[x+5=6\]
\[x=1\]

Answer 7

thank you

Answer 8

actually you should get two solutions to
\[(x+5)^2=36\] but you can ignore the negative solution because the base of a logarithmic function is never negative