log343125=log(343) log(125) #160; #160; #160; #160; #160; #160; =log(3^5) log(5^3) #160; #160; #160; #160; #160; # ...

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Byju's Answer

Standard XII

Mathematics

How to Find the Inverse of a Function

Expand log3...

Question

Expand $log \frac{343}{125}$

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Solution

$log \frac{343}{125} = log (343) - log (125)$
$= log (3^{5}) - log (5^{3})$
$= 5 log (3) - 3 log (5)$

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Similar questions

Q. Grace earned 125 dollars in a part time job. She want to know how many hundred, ten, and one dollar bills are there. Help her find the expanded form of 125.

The expanded form of $(3 x - 5)^{3}$ is
(a) $27 x^{3} + 135 x^{2} + 225 x - 125$
(b) $27 x^{3} + 135 x^{2} - 225 x - 125$
(c) $27 x^{3} - 135 x^{2} + 225 x - 125$
(d) none of these

Q. Which property is used below:
125 × 120 = 125 × (100 + 20) = 125 x 100 + 125 x 20

125 x ___ = 125

(35)^{2} \div \sqrt[3]{125} + (25)^{2} \div 125 = ?

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Expand log343125

log343125=log(343)−log(125) =log(35)−log(53) =5log(3)−3log(5)

Expand $log \frac{343}{125}$

$log \frac{343}{125} = log (343) - log (125)$
$= log (3^{5}) - log (5^{3})$
$= 5 log (3) - 3 log (5)$