Question

Solve logx + 5 36 = 2 Please help me understand what "log" means and what it does to the equation?

Answer 1

\[\log_{x+5}(36)=2\] means in equivalent exponential form that
\[(x+5)^2=36\] now solve for x

Answer 2

you change
\[\log_b(x)=y\] to
\[b^y=x\] as equivalent exponential form

Answer 3

now it is easy enough to solve. write
\[x+5=6\] or
\[x+5=-6\] so
\[x=1\] or
\[x=-11\]
but the base cannot be negative so it is
\[x=6\]

Answer 4

sorry i mean
\[x=1\] not 6

Answer 5

\[x=1\] so
\[x+5=6\] is the base

Answer 6

But if it could be negative would it be -6?

Answer 7

or 6?

Answer 8

Wait can it ever be negative?