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Grade 12Algebra

Please solve this question. Its very complex and everywhere it just shows how to solve a logarithmic equation but the kind of this. So how to convert it into a logarithmic equation or even an easier way. Please help.............................................................................

Question image for Please solve this question. Its very complex and
Profile image of Khushi Kothari
8 Years agoGrade 12
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2 Answers

Profile image of krishna bhagat
8 Years ago
\LARGE a^\log_{e}b=\LARGE b^\log_{e}a using this all i hope u know all logarithmic identities 
\LARGE 5^\--log_{1/5}7=\LARGE 7^\log_{5}5=7
Now
      \LARGE 1/49^\1+log_{7}2= 1/49.1/49^\log_{7}2
1/49.2^\log_{7}1/49
1/49.2^\2log_{7}1/7
1/49.2^\--2log_{7}7
1/49.2^\--2
Now final ans is( 1/196 + 7)
I hope u know well logirathmic values and its identities if u not understood again comment me i will make you through it
Profile image of Arun
8 Years ago
Dear Khushi
 
We can  write 1st part as-
 
(1/49)¹ (1/49)^(log 72)
 = (1/49) (7^-2)^(log 7 2)
 = (1/49) (1/4) = 1/196
 
Now second part
 
5^log 5 7
 = 7
 
Hence
 
Answer will be
 
1/196 +7 = 1373/196

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