SOLUTION: Condense the expression to a single logarithm with a leading coefficient of 1 using the properties of logarithms. 6 {{{ log( 7, (c) ) }}} + {{{ log( 7, (a) )/ 6 }}} + {{{ l

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Question 1129078: Condense the expression to a single logarithm with a leading coefficient of 1 using the properties of logarithms.
6 + +

Found 3 solutions by greenestamps, MathLover1, stanbon:
Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


a*log(x) = log(x^a)

=

=


Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!











or, you can do it this way

.........change to base














Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Condense the expression to a single logarithm with a leading coefficient of 1 using the properties of logarithms.
6 *log( 7 (c) ) + log( 7, (a) )/ 6 + log( 7, (b) )/ 6
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= log7(c^6) + log7(a)^(1/6) + log7(b)^(1/6)
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= log base7 of[(c^6*(ab)^1/6)]
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Cheers,
Stan H.
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