Logarithms 7-4 Quiz

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1. Simplify, if possible.               «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«msub»«mi mathvariant=¨normal¨»log«/mi»«mn»7«/mn»«/msub»«msup»«mn»49«/mn»«mn»3«/mn»«/msup»«/math»

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Logarithms 7-4 Quiz - Quiz

A Quiz Testing the knowledge of the 7-4 chapter, properties of logarithms, from the Algebra II Texas Holt Book.

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2. Evaluate the logarithm: «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mtable columnalign=¨left¨ rowspacing=¨0¨»«mtr»«mtd»«msub»«mi mathvariant=¨normal¨»log«/mi»«mn»3«/mn»«/msub»«mn»243«/mn»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«/mtable»«/math»

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3. Simplify if possible:                 «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«msup»«mn»7«/mn»«mrow»«msub»«mi mathvariant=¨normal¨»log«/mi»«mn»7«/mn»«/msub»«mn»7«/mn»«/mrow»«/msup»«mo»-«/mo»«msub»«mi mathvariant=¨normal¨»log«/mi»«mn»7«/mn»«/msub»«msup»«mn»7«/mn»«mn»7«/mn»«/msup»«/math»

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4. Which is NOT a property of logarithm?

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5. The___________________ property states that, "The logarithm of the _______________ is the logarithm of the dividend minus the logarithm of the divisor."

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6. Write the equation in logarithmic form: 44=256

Explanation

4 is the base in the expression 4^4 as well as the base in the logarithm. 256 is the product and the last 4 is the exponent.

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7. BONUS!                             Simplify «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«msub»«mi mathvariant=¨normal¨»log«/mi»«mn»9«/mn»«/msub»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msub»«mi mathvariant=¨normal¨»log«/mi»«mn»9«/mn»«/msub»«mi»x«/mi»«mo»=«/mo»«/math»

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8. Express as a single logarithm. Simplify if possible. «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«msub»«mi mathvariant=¨normal¨»log«/mi»«mn»5«/mn»«/msub»«mn»50«/mn»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«msub»«mi mathvariant=¨normal¨»log«/mi»«mn»5«/mn»«/msub»«mn»62«/mn»«mo».«/mo»«mn»5«/mn»«mo»§nbsp;«/mo»«mo»=«/mo»«/math»

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9. Most swimmin gpool experts recommend a pH of between 7.0 snf 7.6 for the water in the swimming pool. Use pH= -log[H+], and write an expression for the difference in hydrogen ion concentraation over this pH range. *Hint* use ^ to represent a raised power.           Remember what the common base is.

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Simplify, if possible....
Evaluate the logarithm: 
Simplify if possible:...
Which is NOT a property of logarithm?
The___________________ property states that, "The logarithm of...
Write the equation in logarithmic form: 44=256
BONUS!     ...
Express as a single logarithm. Simplify if possible.
Most swimmin gpool experts recommend a pH of between 7.0 snf 7.6 for...
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