SOLUTION: 1. Use the logarithm properties to present the expression log(x + 10) - log x as the logarithm of a single quantity. 2.Fill in the blank to make a true statement. To solve 3 x =

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Question 126801: 1. Use the logarithm properties to present the expression log(x + 10) - log x as the logarithm of a single quantity.
2.Fill in the blank to make a true statement. To solve 3 x = 26, we can take the logarithm of each side of the equation to get log (3 x ) = log (26). The power rule for logarithms would then provide a way of moving the variable x from its position as an __________ to the position of a coefficient.
3.Write the equation in logarithmic form (1/5)^-7=78125
4.Find the value of x: log3 9 = x

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
1. The log rule you need to apply is . So,


2. I'm presuming you meant to say . The missing word is then 'exponent'

3.
This can be re-written as . We know that if then , so implies . Of course, you could also have left the equation in its original state and said , but that is very messy. Monk wouldn't approve.

4. => . But we know that so we can write . Since we also know that if and only if , .

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