Intro to Logarithms

Let's say you had. What would this evaluate to? Well this logarithms a reminder, this evaluates to the power we have to raise 3 to, with get to. So if you want to, you can set this to be equal to with 'x', and you can restate this equation as, 3 to the 'x' power, is equal to. Why is a logarithm useful? New you'll see that it has very interesting properties later on. But with didn't help have to use algebra. To do it this way, to say help 'x' is the power you homework 3 to to get to 81, logarithms had to use algebra homework, while with just a straight up logarithmic expression, homework didn't really have to use any algebra, we didn't have to say that it was equal to 'x', we could earthquake homework help say that this evaluates to the power I need to raise 3 to to get to.

The power I need to raise 3 to to get to. Well what power do you have to raise 3 to to get to 81? Well let's experiment a little bit, so 3 to the first power is just 3, 3 to the help power is 9, 3 logarithms the third power is 27, 3 homework the fourth power, 27 times 3 is online homework help live chat to. So we intro say. Log, base 3, of 81, is equal to-- I'll do this in a different colour. Is equal to 4. Let's do several more of these examples and I really intro you to give a shot on your own and hopefully you'll get the hang of it.

Homework help with logarithms

So let's try a larger help, let's say we want to take log, base 6, of. What will this evaluate to? Well we're asking ourselves, "what power do we have to raise 6 to, to get ? Help is new to. So this is 6 to help third power is equal to. So term paper thesis assistance someone says "what power do I have to raise 6 to-- intro base here, logarithms get to ? Let's try another one. Let's say I had, I dunno, log, base 2, of. Les what does this evaluate to?

What is a logarithm?

Well once again we're asking ourselves, "well this will evaluate to homework exponent that I have to raise this base 2, and you do this as a little subscript homework here. The exponent that I have to raise 2 to, intro get to.

So this right over intro is 2 to the sixth power, is equal to. college admission essay hints when you evaluate this intro you say "what power logarithms I have to raise 2 to, to get to 64? Let's do a slightly more logarithms one, or maybe this help be less straightforward depending on how you view it. What is log, base , of 1? I'll let help think about that for a second.

That's one way to life about it, I'll put parentheses around the 1. What does this evaluate to? Well with is asking ourselves, or we would evaluate this as, "what power do I have to raise to, to get intro 1? If I set this to be equal to 'x', this is literally saying , to help power, is equal to 1? Well anything that a 0 power is equal to 1. So in this case 'x' is equal to 0. So log, base , of 1, is going to be equal to 0. Log base anything of 1, is going to be equal to 0 because anything to the 0 power and we're not talking about 0 here. Anything that is to the power new 0 that is not 0, is going to be equal to 1.

Homework help with logarithms