Mathematics, 27.06.2019 07:10 meghan2529

Solve log_8 12 = x – 2 . round your answer to four decimal places.

Answers: 2

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Answers

Answer from: extasisjorge

Step-by-step

Let's attack the left side:

log_8 12 = log (base 8) 12 = log(12)/log(8) = 1.1949875 (approx.)

Next solve

log_8 12 = x-2

log(12)/log(8) = x-2

x = 2 + log(12)/log(8)

= 3.195 (to one thousandth)

Answer from: RioQNA

For this case we have the following expression:

$log_ {8} (12) = x-2$

We rewrite how:

$x-2 = log_ {8} (12)$

We add 2 to both sides of the equation:

$x = log_ {8} (12) +2$

We rewrite $log_ {8} (12)$ as $log_ {8} (2 ^ 2 * 3):$

$x = log_ {8} (2 ^ 2 * 3) +2$

We apply logarithm properties:

$x = log_ {8} (2 ^ 2) + log_ {8} (3) +2$

We apply logarithm properties:

$x = 2log_ {8} (2) + log_ {8} (3) +2$

The logarithmic base 8 of 2 is $\frac {1} {3}:$

$x = 2 (\frac {1} {3}) + log_ {8} (3) +2\\x = \frac {2} {3} + log_ {8} (3) +2$

We simplify:

$x = \frac {2} {3} + 2 + log_ {8} (3)\\x = \frac {2 + 6} {3} + log_ {8} (3)\\x = \frac {8} {3} + log_ {8} (3)$

Decimal form:

3,195

$x = \frac {8} {3} + log_ {8} (3) = 3,195$

Answer from: Quest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Answer from: Quest

Really long apparently

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Solve log_8 12 = x – 2 . round your answer to four decimal places....