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Question
In: Math
Logarithm.
Express each logarithm in terms of ln 3 and ln 5.
ln 81/125
Solutions
Expert Solution
Given : ln 81/125
Using quotient rule - ln x/y = ln x -ln y.
Therefore, now we have
ln 81/125 = ln (81) - ln (125)
ln (81) = ln (3)⁴ and ln (125) = ln (5)³
Putting values in the upper equation we will get
ln 81/125 = ln (3)⁴ - ln (5)³
We know log_a(x^b) = b log_a(x)
Hence,the applying it we get
ln 81/125 = 4 ln (3) - 3 ln (5)
The value of ln 81/125 = 4 ln (3) - 3 ln (5)
Nikhil Thakur answered 2 years agoRelated Solutions
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