if y 5 2 log5 x 1 log 5 3x 1 Step by step video image solution for If y 5 2 log 5 x 1 log 5 3x 1 then dy dx at x 0 is by Maths experts to help you in doubts scoring excellent marks in Class
Enter the logarithmic expression below which you want to simplify The logarithm calculator simplifies the given logarithmic expression by using the laws of logarithms View Solution Click here point up 2 to get an answer to your question writing hand if y52leftlog5x1log53x1right then dfrac dydx at x0 is
if y 5 2 log5 x 1 log 5 3x 1
if y 5 2 log5 x 1 log 5 3x 1
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If Log log 6 Log5 x 1 0 Then Find The Value Of X O 125O
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If X Loga Y Logb And Z Logc Express The Following In Terms Of X
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Step 1 First we need to use the logarithmic property that states log a b log a c log a b c Applying this property to the expression inside the brackets we get log5 x 1 3x 1 Answer Taking log of both sides we get Log y logxlog5 Differentiating wrt x dy dx 1 y log 5 x dy dx y x log5 Advertisement If y 5 2 log5 x 1 log5 3x 1 then dy dx at x 0 is Get the answers you need now
Solution Verified by Toppr Correct option is D y 5 2 log 5 x 1 log 5 3x 1 y 25 og 53x 1 x 1 y 3x 1x 1 2 9x 2 6x 1x 2 1 2x dxdy x 0 9x 2 6x 1 2 2x 2 9x I am trying to resolve the equation log 5 2x 1 log 3 3x 3 and then of sketch the functions y log 5 2x 1 and y log 3 3x 3 get the solution x 2 There is
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Explanation log 5 2x log 3x 1 Convert the logarithmic equation to an exponential equation 10log 5 2x 10log 3x 1 Remember that 10logx x so 5 2x 3x Conventionally log implies that base 10 is being used though the base can technically be anything When the base is e ln is usually written rather than log e log 2 the binary
0 2x 1 x 1 x 1 2 and 1 Checking in the original equation you will find both solutions work Note that our restrictions on the variable are x 0 because the log 1 Subtract Log 5 x 1 from both sides so now we have Log 5 x 1 Log 5 x 1 1 2 Use the Log rule Log n a Log n b Log n a b to combine the two Logs into one Log
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if y 5 2 log5 x 1 log 5 3x 1 - Answer Taking log of both sides we get Log y logxlog5 Differentiating wrt x dy dx 1 y log 5 x dy dx y x log5 Advertisement If y 5 2 log5 x 1 log5 3x 1 then dy dx at x 0 is Get the answers you need now