MTALHAHASSAN2
  • MTALHAHASSAN2
Evaluate to the nearest thousandth. a) 3^2x+5 = 5^6-x
Mathematics
jamiebookeater
  • jamiebookeater
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MTALHAHASSAN2
  • MTALHAHASSAN2
can someone help me with it
MTALHAHASSAN2
  • MTALHAHASSAN2
plz
MTALHAHASSAN2
  • MTALHAHASSAN2

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anonymous
  • anonymous
This? \[3^{2x+5}=5^{6-x}\]
MTALHAHASSAN2
  • MTALHAHASSAN2
yes
anonymous
  • anonymous
take the natural log (ln) of both sides. Then apply this rule\[\ln a^b=b \ln a\]
MTALHAHASSAN2
  • MTALHAHASSAN2
what u mean by nature log sorry i forget
anonymous
  • anonymous
ln
MTALHAHASSAN2
  • MTALHAHASSAN2
can you plz show me a bit more
anonymous
  • anonymous
this should help you out. http://bosscade.com/c?r=CKUEDE4sd
MTALHAHASSAN2
  • MTALHAHASSAN2
what is that?
UnkleRhaukus
  • UnkleRhaukus
\[\qquad 3^{2x+5}=5^{6-x}\\ \ln(3^{2x+5})=\ln(5^{6-x})\\\qquad\qquad =\]
UnkleRhaukus
  • UnkleRhaukus
now use the rule above
MTALHAHASSAN2
  • MTALHAHASSAN2
ok
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1434617821542:dw|
MTALHAHASSAN2
  • MTALHAHASSAN2
UnkleRhaukus
  • UnkleRhaukus
yes ln(3^(2x+5)) = (2x+5) ln (3)
MTALHAHASSAN2
  • MTALHAHASSAN2
ok so know that I have to do
UnkleRhaukus
  • UnkleRhaukus
what about ln (5^(6-x)) ?
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1434619007344:dw|
anonymous
  • anonymous
Hi @MTALHAHASSAN2 can u help me with my question with the discount plz ..you seem like the only one online lol
UnkleRhaukus
  • UnkleRhaukus
so you have : \[\qquad 3^{2x+5}=5^{6-x}\\ \quad \ln(3^{2x+5})=\ln(5^{6-x})\\ (2x+5)\ln (3)=(6-x)\ln(5)\\ \qquad\qquad\qquad = \]

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