Laws of Logarithms
Laws of Logarithms:
1. loga(u
v) = loga(u)
+ loga(v)
{The log of a product equals the sum of the logs.}
2. loga(u/v)
= loga(u)
- loga(v)
{The log of a quotient equals the difference of the logs.}
3. loga(ur
) = r loga
(u)
Find the exact value of log 2 4 2.3 without using a calculator.
| log 2 4 2.3 | = log 2 [(22 ) 2.3 ] | Write 4 as a power of 2. |
| Show work. | Use the second laws of exponents to combine the three terms into one log term. |
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