# Write an exponential function in logarithmic form example Blake C. And the way that I specify the base is by doing this underscore right over here. Sign up for convenient, affordable private lessons today! So they wrote is equal to 10 to the second power. Depending on the missing value, one form or the other may be more appropriate to help us solve the equation.

### Logarithmic equations

In this expression, we are being asked to determine what power of some number a would yield a resultant y. These values are inserted in the exponential form in the order given by the round-about technique, Writing and evaluating logarithms Video transcript Voiceover:Rewrite the following equation in logarithmic form. Typically, a missing exponent should be found using the logarithmic form and a missing resultant should be found using the exponential form. Which is the same thing as saying that 10 to the 2nd power is So let me check my answer and make sure I got it right. The round-about technique also works to go the other way, from logarithmic form to exponential form. This is just in exponential form. These values get placed into the logarithmic expression in the order we found them using our round-about, Here they ask us to rewrite the following equation in exponential form.

Additionally, it is often the case that we are given a form that is not best suited for finding the missing value and we will need to translate our expression from exponential form to logarithmic form, or vice versa.

So underscore 10, log base 10 of is equal to 2.

### Logarithmic form to exponential form

Depending on the missing value, one form or the other may be more appropriate to help us solve the equation. Logarithmic form and exponential form. Learn more about Blake here! This is one way to think about it is saying the power that I need to raise 5 to to get to 1 over is equal to negative 3 or that 5 to the negative 3 power is equal to 1 over And the way that I specify the base is by doing this underscore right over here. Typically, a missing exponent should be found using the logarithmic form and a missing resultant should be found using the exponential form. And I did. Thankfully, there is an easy trick for this translation process. So they wrote is equal to 10 to the second power. And we can verify that this has formatted it the right way. So let me check my answer and make sure I got it right. Use whichever way of looking at this process makes better sense to you and seems the easiest way to remember. Additionally, it is often the case that we are given a form that is not best suited for finding the missing value and we will need to translate our expression from exponential form to logarithmic form, or vice versa. So underscore 10, log base 10 of is equal to 2.

This is saying that the power I need to raise 10 to to get to is equal to 2. This is is logarithmic form.

## Write in logarithmic form calculator

This is just in exponential form. The round-about technique also works to go the other way, from logarithmic form to exponential form. See the image below to see what this technique looks like. Learn more about Blake here! So if we wanna write the same information, really, in logarithmic form, we could say that the power that I need to raise 10 to to get to is equal to 2, or log base 10 of is equal to 2. And the way that I specify the base is by doing this underscore right over here. In this expression, we are being asked to determine what power of some number a would yield a resultant y. This is is logarithmic form. Blake C. Additionally, it is often the case that we are given a form that is not best suited for finding the missing value and we will need to translate our expression from exponential form to logarithmic form, or vice versa. Typically, a missing exponent should be found using the logarithmic form and a missing resultant should be found using the exponential form. So underscore 10, log base 10 of is equal to 2. So this is log base 5 of 1 over is equal to negative 3.

The round-about technique also works to go the other way, from logarithmic form to exponential form.

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Changing from Exponential Form to Logarithmic Form