Question

Solve each equation for x.

Answer 1

\[5 = \log_{3} ( x^2 + 18)\]

Answer 2

\[-2 = \log (3x+5)\]

Answer 3

Raise both sides by power of 3, for the first question

Answer 4

\[e^x e^{x+1} = 1\]

Answer 5

why?

Answer 6

We know the logarithmic property
\[a^{\log_a b}=b\]

so
\[5 = \log_{3} ( x^2 + 18)\]
raising both sides by power of 3
\[3^5=x^2+18\]
I think you can solve now, can't you ?
@kaylalynn

Answer 7

why is it 3^5 if we are raising both sides to the power of 3?

Answer 8

@ash2326

Answer 9

Because of the log rules we can see from the problem that it is to \[\log_{3} \]

Answer 10

you have to set \[3^5\]

Answer 11

both sides to the power of 3 to cancel out the log on the the right side

Answer 12

which will leave you with \[243=x^2+18\]

Answer 13

then solve for x

Answer 14

Do you understand it now?

Answer 15

yes!

Answer 16

ok as long as you understand there's satisfaction!

Answer 17

at 2 is log = to 0 or 1 or??