The book I have doesn't make the laws of logarithms clear to me. For example, x = 2log2 6 - log2 9. I can't use subscripts here. What is the number in front supposed to mean? I know that in logarithms it is like the opposite of exponents. log2 8 =3, but what does the number before log tell you? Motherof8
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Explain the Laws of Logarithms
- Thread starter Motherof8
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Motherof8 said:The book I have doesn't make the laws of logarithms clear to me. For example, x = 2log2 6 - log2 9. I can't use subscripts here. What is the number in front supposed to mean? I know that in logarithms it is like the opposite of exponents. log2 8 =3, but what does the number before log tell you? Motherof8
it is same as '2x' - 2 times 'x'
2log[sub:1j9xoakx]2[/sub:1j9xoakx]6 means 2 times log[sub:1j9xoakx]2[/sub:1j9xoakx]6
Havva looksee here, Mom:
http://www.purplemath.com/modules/logs.htm
http://www.purplemath.com/modules/logs.htm
Motherof8 said:The book I have doesn't make the laws of logarithms clear to me. For example, x = 2log2 6 - log2 9. I can't use subscripts here. What is the number in front supposed to mean? I know that in logarithms it is like the opposite of exponents. log2 8 =3, but what does the number before log tell you? Motherof8
Here's a basic rule of logarithms:
log[sub:hh5f24md]a[/sub:hh5f24md] x[sup:hh5f24md]b[/sup:hh5f24md] = b log[sub:hh5f24md]a[/sub:hh5f24md] x
In other words, the MULTIPLIER of a log is an exponent.
For example, suppose you have
3 log[sub:hh5f24md]2[/sub:hh5f24md] x
That means the same thing as log[sub:hh5f24md]2[/sub:hh5f24md] x[sup:hh5f24md]3[/sup:hh5f24md]
Logarithms defined...
log[sub:2a3jsuk5]b[/sub:2a3jsuk5]N = x is defined as b[sup:2a3jsuk5]x[/sup:2a3jsuk5] = N.
So, if you see something like log[sub:2a3jsuk5]2[/sub:2a3jsuk5]16 = n, you could convert that to 2[sup:2a3jsuk5]n[/sup:2a3jsuk5] = 16 and realize that n must be 4.
log[sub:2a3jsuk5]b[/sub:2a3jsuk5]N = x is defined as b[sup:2a3jsuk5]x[/sup:2a3jsuk5] = N.
So, if you see something like log[sub:2a3jsuk5]2[/sub:2a3jsuk5]16 = n, you could convert that to 2[sup:2a3jsuk5]n[/sup:2a3jsuk5] = 16 and realize that n must be 4.