Question

I will give a medal follow and give medal to anyone who can help solve: log(5x+4)=2

Answer 1

what is the base of your logarithm?

Answer 2

if it doesnt have a base, wouldn't the base be 10?

Answer 3

ok! If the base is 10, then, I apply the definition of logarithm and I can rewrite your equation as below:
\[\begin{gathered}
5x + 4 = {10^2} \hfill \\
5x = 100 - 4 \hfill \\
5x = 96 \hfill \\
\end{gathered} \]
what is x?

Answer 4

19.2

Answer 5

that's right!

Answer 6

If the base is 2, then, again applying the definition of logarithm, we have:
\[\begin{gathered}
5x + 4 = {2^2} \hfill \\
5x = 4 - 4 \hfill \\
5x = 0 \hfill \\
x = 0 \hfill \\
\end{gathered} \]

Answer 7

but if there is no base shown, would the base automatically be 10?

Answer 8

yes! I think so!

Answer 9

Ok thank you :)

Answer 10

thank you! :)