How to solve for a variable in a logarithmic equation

1. Solving a logarithmic
equation

2. Solve the equation below for E.
𝑅 =
3
4
log 𝐸 − 3
•First, add three to both sides to get the equation:
𝑅 + 3 =
3
4
log 𝐸

3. 𝑅 + 3 =
3
4
log 𝐸
• Next, multiply both sides by 4/3 to move the fraction to the other
side of the equation:
4
3
(𝑅 + 3) = log 𝐸

4. 4
3
(𝑅 + 3) = log 𝐸
• To get E alone, change to exponential form. Remember, since
there is no base written, it has an understood base of 10.
4
3
𝑅 + 3 = log10 𝐸
10
4
3
(𝑅+3)
= 𝐸
You did it, you solved for E!