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)
Write log3 x7 as a sum, difference and/or constant multiple of logarithms.
| The third law because x7 is an exponential
expressions, and the third law applies to such expressions. |
Which of the above three laws is applicable to this problem? |
| log3 x7 =7 log3 x | Apply the third law of logarithms to log 3 x7. |
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