Question

Use the following function.
log4(x + 3) = 2

To solve the equation, first:
Select one:
a. Re-write the equation using the definition of a logarithm.
b. Divide both sides by 2.
c. Take the log of each side.
d. None of the above.

Answer 1

I mean first I would rewrite it

\[\large \frac{\log(x + 3)}{\log(4)} = 2\]

Answer 2

Using the rule of a log in relation to an equation where a number is raised to an exponent of x.

\(\normalsize\color{black}{ \log_AB=C~~~~~~~~~~~~~A^C=B}\)

Answer 3

\(\normalsize\color{black}{ \log_4(x+3)=2}\)

\(\normalsize\color{black}{ 4^2=(x+3)}\)

\(\normalsize\color{black}{ 16=(x+3)}\)

\(\normalsize\color{black}{ 13=x}\)

Answer 4

I would be a bit more creative though,

\(\normalsize\color{black}{ \log_4(x+3)=2}\)

\(\normalsize\color{black}{ \log_4(x+3)=2~\log_44}\)

\(\normalsize\color{black}{ \log_4(x+3)=\log_44^2}\)

\(\normalsize\color{black}{ \log_4(x+3)=\log_416}\)

\(\normalsize\color{black}{ \log_4\color{red}{(x+3)} =\log_4\color{red}{16} }\)

and on ....

Answer 5

:)