Solving a logarithmic
equation
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
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
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!

Solving a logarithmic equation

  • 1.
  • 2.
    Solve the equationbelow 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!