Question

Express 3^4 = x as a logarithmic equation.

Answer 1

\(\log_b x = y \iff b^y = x\)
Start with the right side and end up with the left side.

Answer 2

For going between exponential form and log form, I use a made up formula called "BAE"

1.Base
2.Answer
3.Exponent

\[3^4=x\]

Base=3, so log 3

\[\log_{3} \]
Answer=x, so log3x

\[\log_{3}x \]
Exponent=4

\[\log_3x=4\]

Answer 3

Vice versa.

\[\log_{3}x=4 \]
1.Base=3

2. Answer=4
\[3^4\]

3. Exponent=x

\[3^4=x\]

Answer 4

@dtan5457 Hey sorry my computer froze up for a little bit, so I restarted it. That acronym helps a lot, thank you so much.

Answer 5

Log's are confusing. For me, that simple word of "Bae", is the only way I can remember it.