Question

Write the exponential equation in logarithmic form. For example, the logarithmic form of 2³ = 8 is log₂ 8 = 3.

Answer 1

To write an exponential equation like a^x = b in logarithmic form, identify the base (a), the exponent (x), and the result (b). The logarithmic equation will then be log_a(b) = x.

Step-by-step explanation:

The question asks how to write an exponential equation in logarithmic form. The general relationship between exponentials and logarithms is that if ax = b, then loga b = x. Logarithms are essentially the inverses of exponentials. Let's go through the steps to convert an exponential equation to its logarithmic form:

1. Identify the base of the exponent, which becomes the base of the logarithm.
2. Identify the exponent in the equation, which becomes the number that the log equals to.
3. And identify the result of the exponentiation, which becomes the input to the logarithm, also known as the argument of the log.

Here's an example:

• Exponential form: 34 = 81
• Logarithmic form: log3 81 = 4

Following these steps will allow you to rewrite any exponential equation as a logarithmic equation.