anonymous
  • anonymous
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Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
\[8.2^{n-3}=42.5\] \[ln(8.2^{n-3})=ln(42.5)\]
anonymous
  • anonymous
\[(n-2)ln(8.2)=ln(42.5)\] \[n-2=\frac{ln(42.5)}{ln(8.2)}\]

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anonymous
  • anonymous
\[n=\frac{ln(42.5)}{ln(8.2)}+2\]
anonymous
  • anonymous
need the next one? works the same i think
anonymous
  • anonymous
step 1. take the log of both sides
anonymous
  • anonymous
yes
anonymous
  • anonymous
step 2 pull out the exponent as a multiplier
anonymous
  • anonymous
step 3 now that everything is on the ground floor use algebra. i will write it
anonymous
  • anonymous
\[2.1^{t-5}=9.2\]
anonymous
  • anonymous
frist one how u get (n-2)
anonymous
  • anonymous
because i made a typo. replace the 2 by a 3!
anonymous
  • anonymous
i typed it in wrong at the start. 2 should be 3. all other steps are the same
anonymous
  • anonymous
i will write the next one \[2.1^{t-5}=9.2\] step 1 take the log of both sides \[ln(2.1^{t-5})=ln(9.2)\]
anonymous
  • anonymous
step 2 pull the t - 5 out front as a multipier \[(t-5)ln(2.1)=ln(9.2)\]
anonymous
  • anonymous
ste 3 divide both sides by ln(2.1) we are trying to get t by itself \[t-5=\frac{ln(9.2)}{ln(2.1)}\]
anonymous
  • anonymous
step 4 add 5 to both sides \[t=\frac{ln(9.2)}{ln(2.1)}+5\]
anonymous
  • anonymous
done
anonymous
  • anonymous
u great ,thank
anonymous
  • anonymous
welcome!

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