log2(log x5. 4) -log2(log x2. 7)
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1
Answer:
MATHS
Solve for x :
log(x+5)+log(x−5)=4log2+2log3
Step-by-step explanation:
log(x+5)+log(x−5)=4log2+2log3
⇒log(x+5)(x−5)=4log2+2log3[log
a
m+log
a
n=log
a
mn]
⇒log(x
2
−25)=log2
4
+log3
2
[nlog
a
m=log
a
m
n
]
⇒log(x
2
−25)=log16+log9
⇒log(x
2
−25)=log16×9 [log
a
m+log
a
n=log
a
mn]
⇒x
2
=144+25
⇒x
2
=169
⇒x=±
169
⇒x=±
13
2
⇒x=±13
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