Which of the following is an example of a logarithmic function?

For example, y = log2 8 can be rewritten as 2y = 8. Since 8 = 23 , we get y = 3. As mentioned in the beginning of this lesson, y represents the exponent, and it also represents the logarithm. Therefore, a logarithm is an exponent.

How do you solve exponential equations with unknown bases?

Rewrite each side in the equation as a power with a common base. Use the rules of exponents to simplify, if necessary, so that the resulting equation has the form bS=bT b S = b T . Use the one-to-one property to set the exponents equal to each other. Solve the resulting equation, S = T, for the unknown.

How do you solve log(x – 3) + log x = 1?

How do you solve log(x − 3) + log x = 1? logarithms on the left side may be added together by multiplying argumnts, on the other side we can rewrite number 1 Logarithm is a simple function, therefore we can compare arguments The goal with type of problems is to get a expresion like logA = logB.

How do you find the difference of two logs in logarithms?

Use the Quotient Rule to express the difference of logs as fractions inside the parenthesis of the logarithm. Move all the logarithmic expressions to the left of the equation, and the constant to the right.

What is the solution to the logarithmic equation 3^4?

3 3. {3^4} = 81 34 = 81. Finish off by solving the two-step linear equation that arises. \\color {blue}x=12 x = 12 is indeed the solution to the logarithmic equation. Example 7: Solve the logarithmic equation.

How do you combine two logarithms together?

Apply the quotient rule. If there are two logarithms in the equation and one must be subtracted by the other, you can and should use the quotient rule to combine the two logarithms into one. Example: log 3 (x + 6) – log 3 (x – 2) = 2. log 3 [ (x + 6) / (x – 2)] = 2.