Question

help please

Answer 1

solve for x
\[5=\log _{3}(x ^{2}+18)\]
can someone show me how to do this. i have other problems like this to do so can you explain so i would be able to work those out for myself

Answer 2

Have you considered transforming the the equivalent Exponential expression?

\(\log_{b}(a) = c \implies b^{\;c} = a\)

Answer 3

im not sure how to do that

Answer 4

would c be 5?

Answer 5

Yes. Just copy the transformation.

A logarithm IS an exponent.

Answer 6

yes do the transformation, so it will look like as follow :
\[\log _{3} (x ^{2}+18) = 5\]
\[x ^{2}+18 = 3^{5}\]
\[x ^{2}= 243-18\]
\[x ^{2} = 225\]
\[\sqrt{x}^{2} = \sqrt{225}\]
\[x= \pm 15\]