Question

atachment file

Answer 1

\[8.2^{n-3}=42.5\]
\[ln(8.2^{n-3})=ln(42.5)\]

Answer 2

\[(n-2)ln(8.2)=ln(42.5)\]
\[n-2=\frac{ln(42.5)}{ln(8.2)}\]

Answer 3

\[n=\frac{ln(42.5)}{ln(8.2)}+2\]

Answer 4

need the next one? works the same i think

Answer 5

step 1. take the log of both sides

Answer 6

yes

Answer 7

step 2 pull out the exponent as a multiplier

Answer 8

step 3 now that everything is on the ground floor use algebra. i will write it

Answer 9

\[2.1^{t-5}=9.2\]

Answer 10

frist one how u get (n-2)

Answer 11

because i made a typo. replace the 2 by a 3!

Answer 12

i typed it in wrong at the start. 2 should be 3. all other steps are the same

Answer 13

i will write the next one
\[2.1^{t-5}=9.2\]
step 1 take the log of both sides
\[ln(2.1^{t-5})=ln(9.2)\]

Answer 14

step 2 pull the t - 5 out front as a multipier
\[(t-5)ln(2.1)=ln(9.2)\]

Answer 15

ste 3 divide both sides by ln(2.1) we are trying to get t by itself
\[t-5=\frac{ln(9.2)}{ln(2.1)}\]

Answer 16

step 4 add 5 to both sides
\[t=\frac{ln(9.2)}{ln(2.1)}+5\]

Answer 17

done

Answer 18

u great ,thank

Answer 19

welcome!